Find the constant of proportionality for the table and write in the form y = kx.

A) y = 1/6x
B) y = 6x
C) y = 7x
D) y = 42x

Find The Constant Of Proportionality For The Table And Write In The Form Y = Kx. A) Y = 1/6xB) Y = 6xC)

Answers

Answer 1
A is the correct answer.
Answer 2

Answer:

The constant of proportionality for the table will be: k=6

Thus, the equation becomes

[tex]y=kx[/tex]

[tex]y=6x[/tex]

Step-by-step explanation:

The constant of proportionality, k, is the constant value of the ratio of two proportional quantities y and x.

We know the equation

[tex]y=kx[/tex]

where k is the constant of proportionality.

Looking at the graph,

at x=7, the value of y=42

so the ratio of y/x = 42/7 = 6

at x=14, the value of y=84

so the ratio of y/x = 84/14 = 6

at x=21, the value of y=126

so the ratio of y/x = 126/21 = 6

at x=28, the value of y=168

so the ratio of y/x = 168/28 = 6

We observe that the ratio of y/x remains constant which y/x=6

so using the equation

[tex]y=kx[/tex]

take any point let say (7, 42)

42 = k(7)

42/7=k

6 = k

Therefore, the constant of proportionality for the table will be: k=6

Thus, the equation becomes

[tex]y=kx[/tex]

[tex]y=6x[/tex]


Related Questions

In a certain​ chemical, the ratio of zinc to copper is 3 to 16 . A jar of the chemical contains 416 grams of copper. How many grams of zinc does it​ contain?

Answers

Answer:

the number of grams of zinc contain is 78

Step-by-step explanation:

The computation of the number of grams of zinc contain is shown below:

Given that the ratio of zinc to copper is 3:16

And, the jar of the chemical has 416 grams copper

So, the number of zinc grams would be

here we assume the zinc grams be x

Now the equation would be

3 ÷ 16 = x ÷ 416

Now applied the cross multiplication

16x = 416 × 3

x = (416 × 3) ÷ 16

= 78

Therefore the number of grams of zinc contain is 78

Answer:

hi

Step-by-step explanation:

pog

If Martha and Howard are 5 hours into the marathon, how far has each person run?

Answers

Answer:

omg how dum r u the answer is 23 JK its 10

Step-by-step explanation:

Expand brackets 4(y+2)

Answers

Answer:

16(y+2)

Step-by-step explanation:

4(y+2)= 4y+2 i hope this helps!

i need the answers for the seven angels​

Answers

Answer:

<1=83

<2=97

<3= 83 (given)

<4=97

<5=83

<6=97

<7=83

<8=97

Step-by-step explanation:

They give you the angle for 3 which is 83, so from there all you have to do is find the equivalent angles which are angle 1,5,7. Then for angles 2,4,6,8 you subtract 83 from 180 and you get 97.

If y =9x^4 - x^3 / x^2 , then dy/dx is:
Someone please help

Answers

Answer:

[tex]\frac{dy}{dx} = 18x - 1[/tex]

Step-by-step explanation:

[tex]y = \frac{9x^{4} - x^{3}}{x^{2} }\\\\y = \frac{9x^{4}}{x^{2} } - \frac{x^{3}}{x^{2} } \\\\y = 9x^{2} - x\\\\\frac{dy}{dx} = 18x - 1[/tex]

67,132 divided by 7= ?
Round your answer to the nearest tenth.

Answers

Answer:

DONE!

Step-by-step explanation:

67132/7 = 9590.28571429

Rounded to the nearest tenth: 9590.3

Answer:

9590.3

Step-by-step explanation:

finally got to answer lol

15+10f=-12 does someone knows this one?

Answers

Answer:

f = - 2.7

Step-by-step explanation:

15 + 10f = -12

10f = -12 - 15

f = -27/10

f = - 2.7

Sal invests $16,000 at age 35. He hopes the investment will be worth $320,000 when he turns 40. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Round to the nearest tenth of a percent.

Answers

59.9%

Sorry I don’t have time to explain in the middle of an exam

The rate of growth needs to be 59.9%.

The formula used to determine the future value of an investment when interest is compounded continuously is:

FV =  A x [tex]e^{r}[/tex] x N

A= amounte = 2.7182818 N = number of years r = interest rateFV = future value

$320,000 = $16,000 x [tex]e^{r}[/tex] x 5

Divide both sides by $16,000

20 = 5[tex]e^{r}[/tex]

Take the In of both sides

In(20) = 5r

Divide both sides by 5

r = 59.9%

To learn, please check: https://brainly.com/question/14640433

the typicla size virus is about 0.000008 cm which can be written as 8*10n cm. what is n?

Answers

Answer:

[tex]10^{-6}[/tex]

Step-by-step explanation:

Start with 0000008.0

For each decimal place you move back, subtract the exponent (the n value of [tex]10^n[/tex]) by 1. In this case, we move back 6 places. This makes n = 6, giving us an answer of [tex]10^{-6}[/tex].

Answer: -6

Step-by-step explanation:

Rewrite the following number in STANDARD NOTATION​

Answers

98700 would be the scientific notation because you’re showing standard form

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Answers

Your final Andrew will be letter c

Answer:

The answer is in the 4th quadrant

Step-by-step explanation:

I really hope this helped!!! have a great day. :)

hi answer with anything

Answers

Answer:

otay

Step-by-step explanation:

Answer:

651651616516

Step-by-step explanation:

56465

find KL , need helppp!!! please

Answers

The answer is 4

Substitute the 4 for x in both equations and simplify you should get 26 on both lines

Paul is setting up a Display of Aquariums at his Pet store. He wants to have 1/6 of a Pound of small rocks in each Aquarium. There are a Total of 2 1/3 pounds of rocks Paul can use. How many Aquariums could he fill with small rocks?

Answers

Answer:

vdsv

Step-by-step explanation:

Let h(x)=2x−5 and g(x)=−3x+1.Find h(x)+g(x).? help please

Answers

This may look a little confusing but all you have to do is plug the equation given for h(x) which is 2x-5 in to the h(x) area in the equation where it says h(x) + g(x).

So far that’s (2x-5) + g(x)

Then,

Do the same with equation given for g(x) which is now,

(2x-5) + (3x+1)

Then solve,

2x - 5 + 3x + 1
2x + 3x- 5 + 1
5x - 4

Therefore the answer is 5x - 4.

If the volume of a cube shaped box is 795 cubic inches, which equation would you uses to determine how many 1-inch cubes could fit along one side.
Pls help ASAP

Answers

A would be the right answer since cubing is taking the number to the 3rd power, so for this question you would have to take the square root by 3

If e^xy-y^2=e-4,
then at x=1/2 and y=2,
dy/dx=?

Answers

Answer:

If  [tex]e^{x\cdot y}-y^{2} = e-4[/tex], then at  [tex]x = \frac{1}{2}[/tex] and [tex]y = 2[/tex], [tex]\frac{dy}{dx} \approx 2.059[/tex].

Step-by-step explanation:

Let [tex]e^{x\cdot y}-y^{2} = e-4[/tex]. At first we determine the first derivative of the function by implicit differentiation:

[tex]e^{x\cdot y}\cdot \left(y+x\cdot \frac{dy}{dx} \right)-2\cdot y \cdot \frac{dy}{dx} = 0[/tex]

[tex]y\cdot e^{x\cdot y}+x\cdot e^{x\cdot y}\cdot \frac{dy}{dx} -2\cdot y\cdot \frac{dy}{dx} = 0[/tex]

[tex]y\cdot e^{x\cdot y}= (2\cdot y -x\cdot e^{x\cdot y})\cdot \frac{dy}{dx}[/tex]

[tex]\frac{dy}{dx} = \frac{y\cdot e^{x\cdot y}}{2\cdot y - x\cdot e^{x\cdot y}}[/tex]

If we know that [tex]x = \frac{1}{2}[/tex] and [tex]y = 2[/tex], then the computed value of the function is:

[tex]\frac{dy}{dx} = \frac{(2)\cdot e^{\left(\frac{1}{2} \right)\cdot (2)}}{2\cdot (2)-\left(\frac{1}{2} \right)\cdot e^{\left(\frac{1}{2} \right)\cdot (2)}}[/tex]

[tex]\frac{dy}{dx} \approx 2.059[/tex]

If  [tex]e^{x\cdot y}-y^{2} = e-4[/tex], then at  [tex]x = \frac{1}{2}[/tex] and [tex]y = 2[/tex], [tex]\frac{dy}{dx} \approx 2.059[/tex].

Solve : -5/3 + 2 1/3

Answers

Answer:

2/3

Step-by-step explanation:

Hope This Helps

2/3 cus if u change 2 1/3 to a mixed number it becomes 7/3 n -5/3 + 7/3 is 2/3

What does a residual value of 0.8 mean in reference to the line of best fit?
O The given point is 0.8 units above the line of best fit
O The given point is 0.8 units below the line of best fit
O The line of best fit is not appropriate to the data
O The line of best fit has a slope of 0.8

Answers

The residual value of 0.8 mean in reference to the line of best fits shows that the given point is 0.8 units below the line of best fit.

What Is Residual Value?

The residual value is known to be  the approximated or estimated value of any kind of fixed asset that is done at the end of its lease term or at the end of its useful life.

Note therefore that the residual value of 0.8 mean in reference to the line of best fits shows that the given point is 0.8 units below the line of best fit.

Learn more about residual value from

https://brainly.com/question/1168961

#SPJ2

Answer:

B

Step-by-step explanation:

Got it right edge 2022

Juan’s business had sales in August of $3,256.00. In the same month, his expenses were $4,000.00.

Juan’s profit for the month is ?

Answers

$-744 Becuase of the debt

The negative sign represents the loss. Then the loss of Juan's will be $744.

What is a profit?

A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running, or creating anything.

The profit is given as,

Profit = Selling price - Cost price

Juan’s business had sales in August of $3,256.00. In the same month, his expenses were $4,000.00.

The profit is calculated as,

Profit = $3,256 - $4,000

Profit = - $744

The negative sign represents the loss. Then the loss of Juan's will be $744.

More about the profit is given below.

https://brainly.com/question/15036999

#SPJ3

Please this urgent! I need your help in these questions, it would be very appreciated.

Answers

Answer:

3 is continous. 4 is discrete

Step-by-step explanation:

3 houses 2 terms, therefore continuing it. 4 houses 1, stopping the graph.

I might be dumb

hey hey:) i need You're help;)​

Answers

Two sides are congruent to each other.

The third side of an isosceles triangle which is unequal to the other two sides is called the base of the isosceles triangle.

A right triangle (American English) or right-angled triangle (British English) is a triangle in which one angle is a right angle (that is, a 90-degree angle). The relation between the sides and angles of a right triangle is the basis for trigonometry.

A triangle with all sides of different lengths. All angles are different, too. So no sides are equal and no angles are equal.

HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN

Answer:

Two sides are congruent to each other.

The third side of an isosceles triangle which is unequal to the other two sides is called the base of the isosceles triangle.

A right triangle (American English) or right-angled triangle (British English) is a triangle in which one angle is a right angle (that is, a 90-degree angle). The relation between the sides and angles of a right triangle is the basis for trigonometry.

A triangle with all sides of different lengths. All angles are different, too. So no sides are equal and no angles are equal.

Step-by-step explanation:

Write a quadratic equation whose factors are 4+3i and 4-3i.

Answers

Answer:

[tex]y=x^2-8x+25[/tex]

Step-by-step explanation:

To answer this question, we will work backwards.

We know that a factor is 4+3i. This means that:

[tex](x-(4+3i))=0[/tex]

Hence, we will eliminate the imaginary and convert this into standard form.

First, distribute the negative:

[tex]x-4-3i=0[/tex]

Add 3i to both sides:

[tex]x-4=3i[/tex]

Square both sides:

[tex](x-4)^2=(3i)^2[/tex]

Expand:

[tex]x^2-8x+16=9(-1)=-9[/tex]

Add 9 to both sides:

[tex]x^2-8x+25=0[/tex]

Hence, our quadratic equation is:

[tex]y=x^2-8x+25[/tex]

Notes:

We will get the same equation if we use (4-3i). This is because we square the (3i) regardless of its sign, making it positive.

Twenty-one goats were shown in the county fair. This was seven less than four times the number of horses shown. How many horses were shown? (a) Write an equation that could be used to solve the problem. (b) State the solution.

Answers

Answer:

H=horse

H=4(21-7)

Step-by-step explanation:

H=4(21-7)

H=4(14)

There were 56 horses.

Which of the following statements represents the distributive property?

A) 9(x + 1) = 9x + 1
B) 9(x + 1) = 9x + 9
C) 9(x + 9) = 9x + 9
D) 9(x + 1) = x + 7

Answers

Answer:

The answer to your question is B.

please need help thank you so much.​

Answers

Answer:

I am not certain but I think it's y=2x+4 I don't know tho but I think that's it

Expand & simplify
(x+2)(x+4)​

Answers

Answer:

2+6+8

Step-by-step explanation:

I hope this Helps c:

(8 times 10 to the fourth power)+(4 times 10 to the fourth power)

Answers

Answer:

120,000

Step-by-step explanation:

8 times 10 to the 4th power is 80,000 and 4 times 10 to the 4th power is 40,000 and 80,000 plus 40,000 is 120,000

hellppp I'm slowee don't know anything​

Answers

Answer:     B)  X=40

cuz i just know

Decrease £40 by 70%

plz answer and ill brainlist u!

Answers

Answer:

12

Step-by-step explanation:

Answer:

£12

Step-by-step explanation:

It's asking us to find the 30% of the 40 and to do this we multiply 40 by 30 then divide it by 100

40 × 30 ÷ 100 = 12

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