The answer of the question is A. Cluster Analysis
Data reduction is a stage of qualitative data analysis techniques. Data reduction is simplification, classification, and unnecessary hoarding of data in such a way that the data can produce meaningful information and facilitate drawing conclusions.
Data reduction is done to provide more specific representation and make it easier for researchers to collect data then look for additional data if needed.
Various dimension reduction methods are used to reduce the complexity of data before further processing. One of data reduction techniques is Cluster Analysis. Cluster analysis is used to group or classify data with various types, for example in types according to the concept, and certain categories according to the research being conducted.
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A recipe for whole grain bread calls for 1 oz of rye flour for every 4 oz of whole wheat flour. How many ounces of each kind of flour should be used to make a loaf of bread weighing 22 oz?
In the making of 22 oz of bread rye flour and whole wheat requirements are 4.4 0z and 17.6 oz.
What is the different method of writing a ratio?A ratio is a comparison between two quantities in simplest form.
A ratio of the from a : b can be written as a/(a + b) and b/(a + b).
Given, A recipe for whole grain bread calls for 1 oz of rye flour for every 4 oz of whole wheat flour.
∴ In the making of 22 oz of bread rye flour needed is 1/(1 + 4)×22
= (1/5)×22.
= 4.4 oz.
In the making of 22 oz of bread whole wheat needed is 4/(1 + 4)×22.
= (4/5)×22.
= 17.6 oz.
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A CFL Factory uses 24,325.208 litre of water in 4 hours. How much water does the factory use in 3 hours
Answer:
18243.906
Step-by-step explanation:
Find how much water is used in 1 hour and then multiply that by 3
24325.208/4
6081.302
6081.302x3
18243.906
The domain of f is x > 0. The range of f is all real numbers. The domain of the inverse function is all real numbers. The range of the inverse function is y > 0. The domain of f is the same as the range of the inverse function. The range of f is the same as the the domain of the inverse function.
The given descriptions "The domain of f is x > 0. The range of f is all real numbers. The domain of the inverse function is all real numbers. The range of the inverse function is y > 0. The domain of f is the same as the range of the inverse function. The range of f is the same as the domain of the inverse function." is stated about the logarithmic function.
First, let us understand the logarithmic function:
The inverses of exponential functions are logarithmic functions, and any exponential function could be represented in logarithmic form.
The given description fully stated about the logarithmic function.
Thus, the given description "The domain of f is x > 0. The range of f is all real numbers. The domain of the inverse function is all real numbers. The range of the inverse function is y > 0. The domain of f is the same as the range of the inverse function. The range of f is the same as the domain of the inverse function." is stated about the logarithmic function.
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Which is the smallest number. 0.5 0.17 0.07 1.7 0.071
The smallest number among the given options is 0.07.
To determine the smallest number, we compare the given options. Among the numbers 0.5, 0.17, 0.07, 1.7, and 0.071, the smallest number is 0.07. This can be determined by examining the decimal places. The number 0.07 has the fewest decimal places and is the smallest value.
When comparing decimal numbers, the digits after the decimal point are crucial.
In this case, we observe that 0.07 has the smallest digit in the hundredths place, while the other numbers have larger digits in that place. Therefore, 0.07 is the smallest number among the given options.
It is important to note that the order of magnitude (the number before the decimal point) does not affect the comparison when determining the smallest number among decimal values.
In summary, by comparing the decimal places, we find that 0.07 is the smallest number among the given options.
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A furniture maker uses the specification 17.9≤w≤18.1 for the width w in inches of a desk drawer. Write the specification as an absolute value inequality.
The specifications of the furniture as an absolute value inequality is |x - 18| ≤ 0.1 .
In the question ,
it is given that ,
the specification of the furniture , is 17.9 ≤ w ≤ 18.1 ,
where w is the width of the desk drawer in inches .
we need to write the given inequality in absolute inequality form ,
we know that the a-b < x < a+b , then the absolute inequality is |x-a|<b ,
On comparing the given inequality with a-b < x < a+b ,
we get
a - b = 17.9 and
a + b = 18.1
adding both the equations , we get
2a = 36
a = 36/2
a = 18
Substituting a = 18 in a + b = 18.1 , we get
18 + b = 18.1
b = 18.1 - 18
b = 0.1
The required inequality is |x-a| ≤ b .
|x - 18| ≤ 0.1
Therefore , The specifications of the furniture as an absolute value inequality is |x - 18| ≤ 0.1 .
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A map of a rectangular park has a length of 4 inches and a width of 6 inches. It uses a scale of 1 inch for every 30 miles.
What is the actual length of the park in miles?
What is the actual width of the park in miles?
miles
What is the actual area of the park in square miles?
miles squared
The actual area of the park in square miles is 21600 miles².
A map of a rectangular park has a length of 4 inches and a width of 6 inches. It uses a scale of 1 inch for every 30 miles.
* Lets explain how to solve the problem
- A drawing that shows a real object with accurate sizes reduced or
enlarged by a certain amount called the scale
- Drawing scale is a ratio between the drawing length and the
actual length
- To find the actual dimensions from the drawing dimensions use the
scale drawing
* Lets solve the problem
- A map of a rectangular park has a length of 4 inches and a width
of 6 inches
∴ The drawing dimensions are:
# length = 4 inches
# width = 6 inches
- The scale of the map is 1 inch for every 30 miles
∴ The scale drawing is 1 : 30
- To find the actual area find the actual dimensions
∵ The scale drawing is 1 : 30
∵ The length = 4 inches and the width = 6 inches
- By using cross multiplication
∴ 1 : 30
4 : actual length
6 : actual width
∴ Actual length = (4 × 30)/1 = 120
∴ Actual length = 120 miles
∴ Actual width = (6 × 30)/1 = 180
∴ Actual Width = 180 miles
∴ The actual dimensions are 120 miles and 180 miles
∵ The area of any rectangle = length × width
∴ The actual area = 120 × 180 = 21600
∴ The actual area 21600 miles²
Hence the answer is the actual area of the park in square miles is 21600 miles².
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Which of the following is a polynomial with roots:-√3,√3, and 3?
x3-2x²-3x+6
x3-3x2-3x+9
x3+2x²-3x-6
x3+3x²-3x-9
Answer:
[tex]x^{3}[/tex]-3[tex]x^{2}[/tex]-3x+9
Step-by-step explanation:
(x-3)([tex]x^{2}[/tex]-3) = 0
x = -[tex]\sqrt{3}[/tex], [tex]\sqrt{3}[/tex], 3
How many laps around the lake does Latrell jog? Write your answer as a whole number of laps plus a fraction of a lap.
The number of laps around the lake that Latrell jogs is 5 1/4 laps.
What is a fraction?A fraction simply means a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
From the information he jogs 7 miles and each lap is 4/3 miles. The number of laps will be:
= Total laps / Number of miles
= 7 ÷ 4/3
= 7 × 3/4
= 21 / 4.
= 5 1/4 laps.
He jogs 5 1/4 laps.
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Roberto has already run 16 of 26. 2 miles of a marathon. Rounded to the nearest whole number, what percent of the marathon has he completed?.
Answer: Alright, lets get started.
Roberto has already run miles = 16
Total miles for marathon = 26.2
As per percentage formula :
So, percentage completed =
Rounding the answer to whole number 62 %
62 percent of the marathon he has completed. : Answer
Hope it will help :)
Step-by-step explanation:
A watusi, a Ubangi, and a Pigmy compare the speeds at which ech can run.
The sum of the speeds of the natives is 30 miles per hour (mph). The Pigmy's
speed plus one-third of the Watusi's speed is 22 miles per hour more that the
Ubangi's sped. Four times the Watusi's speed plus three times the Ublani's
speed minus twice the Pigmys' speed is 12 miles per hour. Find out how fast
each can run. Then, tell what is unfortunate about the Ubangi.
*write system of equations
There is Watusi's speed is 6miles per hour (mph), Ubangi's speed is 3 mph, and Pigmy's speed is 21 mph.
What is an equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Let x represent Watusi's speed,
y represent Ubangi's speed,
And z represents Pigmy's speed.
According to the given information, we can write the system of equations as
x + y + z = 30 .....(i)
z + 2x/3 = 22 - y .....(ii)
4x + 3y - z = 12 .....(iii)
The above system of equations gives the values of x, y, and z when solving
x = 6, y = 3, z = 21
This means Watusi's speed is 6miles per hour (mph), Ubangi's speed is 3 mph, and Pigmy's speed is 21 mph.
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Translate this sentence into an equation. 53 is the sum of 22 and Han's height. Use the variable h to represent Han's height.
Answer:
22 + h = 53
Step-by-step explanation:
I don't know if I am correct
Answer:
The answer is 31, H=31
Step-by-step explanation:
53-22=31 :)
what is the y-intercept of the line given by the equation below?
y=4x-6
A. (4, 0)
B. (0, 4)
C. (-6, 0)
D. (0, -6)
Answer:
D: (0,-6)
Step-by-step explanation:
the y intercept in an equation is the "b" value in y=mx+b
Answer:
(0,-6)
Step-by-step explanation:
you can look at the last term in the equation which is -6
Or you can set x to 0
y=4(0)-6
y=-6
Hopes this helps please mark brainliest
Solve for z.
Assume the equation has a solution for z.
a⋅(t+z)=45z+67
[tex]a(t+z)=45z+67\implies at+az=45z+67\implies az=45z+67-at \\\\\\ az-45z=67-at\implies \stackrel{common~factoring}{z(a-45)}=67-at\implies z=\cfrac{67-at}{a-45}[/tex]
Reese is installing an in-ground rectangular pool in her backyard. Her pool will be 30 feet long, 14 feet wide, and have an average depth of 8 feet. She is installing two pipes to bring water to fill the pool; these pipes will also be used to drain the pool at the end of each season. One pipe can fill and drain the pool at a rate that is 1 more than 2 times faster than the other pipe. If both pipes are open and working properly, it will take 3.5 hours to fill the pool.
Use this information and what you know about solving rational equations to answer the questions below.
1. When Reese opens the pipes to fill the pool, she finds that only the slower pipe is working. Write a rational equation that you can use to find out how long it will take to fill the pool under these circumstances. Explain how you came up with your equation.
2. Solve the equation that you wrote in question 1. You can round your final answer(s) to the nearest hundredth. Show all your work.
3. Interpret your answer(s) to question 2 in context of the problem. What do the number(s)
The 30 feet by 14 feet by 8 feet, filled in 3.5 hours by two pipes in which one pipe is 1 more than twice the other, indicates;
1. The rational equation from which the time the smaller pipe takes to fill the pool is; [tex]t = \dfrac{3360}{x} =\dfrac{3360}{959-2\cdot x }[/tex]
2. The solution of the equation is t ≈ 10.51 hours
3. The time it takes to fill the pool using only the small pipe is about 10.51 hours
What is a rational equation?Rational equation are equations that have rational polynomial expressions.
The dimensions of the pool are;
Length = 30 feet
Width = 14 feet
Depth = 8 feet
1. Let x represent the flow rate of the slower pipe
The flow rate of the faster pipe = 2·x + 1
Time it will take both pies to fill the pool = 3.5 hours
The volume of the pool, V = 30 × 14 × 8 = 3360
The volume of the pool is 3360 cubic feet
The rate equation is therefore;
[tex]\dfrac{x}{3360} +\dfrac{2\cdot x+1}{3360} =\dfrac{1}{3.5}[/tex]
[tex]\dfrac{x}{3360} =\dfrac{1}{3.5} - \dfrac{2\cdot x+1}{3360}[/tex]
From the rate equation above, the time it takes the smaller pipe to fill the pool is; t = 3360/x therefore;
[tex]t = \dfrac{3360}{x} =\dfrac{3360}{959-2\cdot x }[/tex]
2. Solving for x from the volume of water in the pool, V, therefore;
The volume of water that fills the pool, V, is found from the equation;
V = 3.5 × (2·x + 1 + x) = 10.5·x + 3.5
V = 10.5·x + 3.5
Therefore;
3360 = 10.5·x + 3.5
[tex]x = \dfrac{3360-3.5}{10.5} =319.\overline 6[/tex]
t = 3360/319.[tex]\overline 6[/tex] ≈ 10.51
The time it takes to fill the pool using only the smaller pipe is approximately 10.51 hours
Aliter;
[tex]\dfrac{3\cdot x}{3360} =\dfrac{1}{3.5}-\dfrac{1}{3360}[/tex]
[tex]t = \dfrac{3360}{x} =\dfrac{3}{\left(\dfrac{1}{3.5}-\dfrac{1}{3360}\right)} \approx 10.51[/tex]
3. The interpretation of the solution is that it takes about 10.51 hours for the smaller pipe working alone to fill the pool
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A delivery truck is coming from San Antonio with avocados. The avocados are boxed in 2 different boxes small and large. The weight of both small and large boxes is 75lb. If the truck has 70 large boxes and 55 small boxes with a total weight of 4800 lb. How much does each type of box weigh?
What are the tep to writing the equation of a line, parallel or perpendicular, to a given line through a given point? Parallel line have the _____ lope. Perpendicular line have _____
Answer:
parallel line: a(x-h) +b(y-k) = 0, or y-k = m(x -h); same slopeperpendicular line: b(x-h) -a(y-k) = 0, or y-k = (-1/m)(x -h); opposite reciprocal slopeStep-by-step explanation:
You want the steps to writing the equation of a line parallel or perpendicular to a given line through a given point.
EquationsGiven line ax+by=c and point (h, k), you can write equations for the desired lines using the forms:
a(x -h) +b(y -k) = 0 . . . . . . parallel line
b(x -h) -a(y -k) = 0 . . . . . . . perpendicular line
If you eliminate parentheses and collect terms, you will have the general form equation of the desired line(s). If you solve for y, you will have the slope-intercept form of the equation.
To use these forms, it is helpful to start with the equation of the given line in standard form, as shown. (It could also be in general form ax+by-c=0.)
StepsUsing the above solution, the steps are ...
Write the equation of the given line in standard form or general form.Identify the coefficients 'a' and 'b'.Fill in the coefficients and given point coordinates in the relevant equation above.Rearrange the result to whatever form you need.You will note that the same coefficients are used on the same variables for a parallel line. This is because parallel lines have the same slope.
The coefficient of the variables are swapped, and one of them is negated in the equation for the perpendicular line. This is because perpendicular lines have opposite reciprocal slope.
Slope-intercept formWhen the given line is in slope-intercept form, y = mx +b, the slope is readily identified as m, the coefficient of x. For the parallel line, this slope can be used directly in the point-slope equation for a line through a given point:
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
This can be rearranged to the slope-intercept form:
y = mx +(k -mh)
The perpendicular line has opposite reciprocal slope. The line perpendicular to the given line with slope m will have slope -1/m. Then the two forms of equation are ...
y -k = -1/m(x -h) . . . . . . . . . point-slope form
y = (-1/m)x +(k +h/m) . . . . . slope-intercept form
__
Additional comment
A standard form equation (ax +by = x) has mutually prime integer coefficients, with a positive leading coefficient. When you have written your equation, you may find it necessary to multiply the equation by some value to put it in this form. For example, -2x +4y = -8 must be multiplied by -1/2 to get the standard form equation x -2y = 4.
You need to be aware of the form required by your grader. The wording "the equation" often means slope-intercept form, or the form matching the given equation or the answer box format.
How many angles are formed by the intersection of the diagonals?
The number of angles that are formed by the intersection of the diagonals is 4.
What is a square?A square is a four-equal-sided figure with diagonals cut perpendicular to each other, with a total of four angles formed by diagonals.
It is a geometrical figure with four sides, each of which must be equal, and an angle of 90 degrees between two adjacent sides.
Square area = Side²
The square's perimeter = 4 sides
Every square contains two diagonals. The intersection angle of both diagonals is 90 degrees. The number of diagonal angles equals four.
Therefore, the correct option is 4.
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Complete question
How many angles are formed by the intersection of the diagonals in a square?
If A ⊂ B, then A ∩ B = ∅. true or false
The statement if A ⊂ B, then A ∩ B = ∅ is false.
First, let us understand the set:
A set is a mathematical model for a collection of different things; a set contains elements or members that can be any mathematical object: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.
We are given;
A ⊂ B
We need to find A ∩ B.
Let us understand the given set;
A ⊂ B means A is a proper subset of B.
All the elements of set A are in set B.
So, A ∩ B = A
But, A ∩ B = ∅ is given.
So, the statement is false.
Thus, the statement if A ⊂ B, then A ∩ B = ∅ is false.
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Kiara and Lee are collecting violas in a ratio of 2:5 . If they collected 266 violas altogether , how many violas did Kiara collect?
The quantity of violas Kiara collected is 76
Calculating quantity of violas collectedFrom the question, we are to determine the quantity of violas Kiara collected.
From the given information,
"Kiara and Lee are collecting violas in a ratio of 2:5"
First, we will determine the sum of ratios
Sum of ratios = 2 + 5 = 7
Also, from the given information
The total number of violas they collected is 266
Thus,
The quantity of violas Kiara collected will be
2/7 × 266
= 2 × 38
= 76
Hence, the quantity she collected is 76
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Multiply. (-5 5/8) • (-2 1/3) What is the product?
Answer:
105/8 = 13 1/8 = 13.125
Step-by-step explanation:
The first step is to turn the (-5 5/8) into a mixed number. The mixed number you should be getting is - 45/8. The second step is to convert the (-2 1/3) into a mixed number as well, your second mixed number should be -7/3. Next multiply the two fractions, - 45/8 x (-7/3) = 315/24.
We can simplify 315/24 by dividing by 3, so you'll divide 315 divided by 3 and 24 divided by 3 and you should get ... 105/8. So 105/ 8 is equal to
13 1/8. If you need this fraction in decimal form it is 13.125.
Use the spinner shown. It is equally probable that the pointer will land on
any one of the six regions. If the pointer lands on a borderline, spin again. If
the pointer is spun twice, find the probability that it will land on
grey and then purple
Find the probability that the spinner will land on grey and then purple.
The probability that the spinner will land on grey and then purple is 1/18.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Number of grey regions = 1
Number of purple regions = 2
Total number of regions = 6
Now,
The probability that the spinner will land on grey.
= Number of grey regions / Total number of regions
= 1 / 6
The probability that the spinner will land on purple.
= Number of purple regions / Total number of regions
= 2 / 6
The probability that the spinner will land on grey and then purple.
= 1/6 x 2/6
= 1/6 x 1/3
= 1/18
Thus,
The probability that the spinner will land on grey and then purple is 1/18.
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according to city reports, it was found that the mean age of the prison population in the city was 26 years. marc wants to test the claim that the mean age of the prison population in his city is less than 26 years. he obtains a random sample of 25 prisoners and finds a mean age of 24.4 years and a standard deviation of 9.2 years. at a significance level of 0.05, what should his conclusion be? note: the p-value
The value of P0.05 < 0.19658. We do not reject the null hypothesis. There is not sufficient evidence that the mean age is less than 26 years.
According to the question we will set up Hypothesis
Null, H0: U=26
Alternate, H1: U<26
Test Statistic
Population Mean(U)=26
Sample X(Mean)=24.4
Standard Deviation(S.D)=9.2
Number (n)=25
we use Test Statistic (t) = x-U/(s.d/√(n))
to =24.4-26/(9.2/√(25))
to =-0.87
| to | =0.87
Critical Value
The Value of |t α| with n-1 = 24 d.f is 1.711
We got |to| =0.87 & | t α | =1.711
According to this, we have to make a decision
Hence Value of |to | < | t α |
P-Value: Left Tail -Ha : ( P < -0.8696 ) = 0.19658
Hence Value of P0.05 < 0.19658
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Lesson
Cool Down: Off by a Little Bit?
Clare
estimates that her brother is 4 feet tall. When they get measured at the doctor's
office, her brother's height is 4 feet, 2 inches.
1. Should Clare's or the doctor's measurement be considered the actual height?
Explain your reasoning.
2. What was the error, expressed in inches?
3. What was the error, expressed as a percentage of the actual height?
Answer:
See belowStep-by-step explanation:
GivenEstimated value - 4 feet,Measured value - 4 feet, 2 inchesSolution1. The measured height is the exact value therefore it is to be considered as actual height.
2. The error is the difference between actual and estimated values:
4 feet 2 inches - 4 feet = 2 inches3. Percent error is:
Error / Actual value * 100%or
2 in / 4 ft, 2 in *100% = 2 in / (4*12 + 2) in * 100% = convert ⇒ 1 foot = 12 inches2 in / 50 in * 100% = 4%Which expression is equivalent to 9^3/3^3
Answer:
3^3
Step-by-step explanation:
Exponents
9^3 can be rewritten as
3^2 ^3
Using exponent rules a^b^c = a^ (b*c)
3^2^3 = 3^6
3^6 / 3^3
We know that a^b / a^c = a^(b-c)
3^6 / 3^3 = 3^(6-3) = 3^3
Answer:
2nd answer is correct
Step-by-step explanation:
We know that,
[tex] \rightarrow \sf {x}^{a} \times {x}^{b} = {x}^{a + b} \\ \rightarrow \sf \frac{{x}^{a} }{ {x}^{b} } = {x}^{a - b} \\ \rightarrow \sf( {x}^{a} )^{b} = {x}^{ab} [/tex]
Accordingly, let us solve it now.
[tex] \sf \frac{ {9}^{3} }{ {3}^{3} } \\ \\ \sf \frac{ {3}^{2 \times 3} }{ {3}^{3} } \\ \\ \sf\frac{ {3}^{6} }{ {3}^{3} } \\ \\ \sf {3}^{6 - 3} \\ \sf {3}^{3} [/tex]
the population is decreasing at a rate of 2%2% per year. if the population is 28,80028,800 today, what will the population be in 99 years? round your answer to the nearest whole number, if necessary.
By using the concept of depreciation, it is obtained that
New population after 9 years = 24012
What is Depreciation?
Depreciation is the decrease in the value of a population or any asset over a period of time at a certain rate.
The concept of depreciation has been used here
Original population = 28800
Rate of decrease of population = 2%
Time = 9 years
New population after 9 years = [tex]28800(1 - \frac{2}{100})^9[/tex]
= [tex]28800({1 - \frac{1}{50})^9\\[/tex]
= [tex]28800(\frac{49}{50})^9[/tex]
= 24011.94
= 24012
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Find the slope and y-intercept of each equation *Please*:
1.) 8x-4y=24
2.) y= -5x+16
Answer:
1) Slope: 2 ; y-intercept: (0, -6)
2) Slope: -5; y-intercept: (0, 16)
Step-by-step explanation:
8x-4y=24 is also y=2x-6
Slope: 2
y-intercept: -6
y= -5x+16
Slope: -5
y-intercept: 16
The missing quantity in the double number line
Answer: 1840 pounds
Step-by-step explanation:4x4=16
460 x 4 = 1840
PLEASE HELP FAST! 2. Find the volume of the following figure. Use 3.14 for pi. Show work please
Answer:
Step-by-step explanation:
the equation of the cone is given already
r=6 inches
h=7 inches
Substitute in the equation =84pi=263.89
for the sphere substitute the radius r= 6 inches in the equation, and then divide by 2. This is because the spherical shale in top of the cone is half a sphere, as it can be clearly seen.
So It’s 288pi= 904.78 /2 =452.39
add the volume of cone and volume of sphere
The final answer is 716.28 inches^3
Please I need help please
The value of x in the given triangle is x = 2 .
In the question ,
it is given that ,
a triangle is given ,
let us name the triangle as triangle ABC ,
So , By Basic Proportionality Theorem , which states that ,
The line drawn parallel to one side of triangle and cuts the other two sides divides the other two sides in equal proportion.
So , By Basic Proportionality Theorem
AD/AB = AE/AC
substituting the value from the triangles , we get
4/12 = 6/(6+6x)
1/3 = 1/(1+x)
1 + x = 3
x = 3 - 1
x = 2
Therefore , The value of x in the given triangle is x = 2 .
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NEED ANSWER SOON PLEASE
The graph shows how many cnetimeters a bamboo plant can grow and the number that the plant has been growing. Determine the constant of proportionatlity and explain what it means.
The numbers below are what the dots are plotted-
10,50
20,100
30,150
40,200
50,250
The constant of proportionality of the graph shows how many centimeters a bamboo plant can grow and the number that the plant has been growing is 5.
We know that the constant of proportionality is nothing but the slope of the line.
The slope of the line is given by;
Slope = Change in y-coordinate / change in x-coordinate
We are given:
The numbers below are what the dots are plotted-
10, 50
20, 100
30, 150
40, 200
50, 250
Take any two points.
Let us choose (20, 100) and (30, 150).
Put the values in the slope formula;
Slope = (150 - 100) / (30 - 20) = 50 / 10 = 5
So, the slope of the line is 5.
Thus, the constant of proportionality of the graph shows how many centimeters a bamboo plant can grow and the number that the plant has been growing is 5.
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