PLEASE HELP THERE ARE TWO PARTS!!

The graph shows the relationship between the United States dollar and
the euro, the currency of the European Union, in December 2011. Part A:
What is the constant of proportionality shown in the graph? *
Exchange Rate (December 6, 2011)
VA
(400, 300)
300
Number of euros
200
(250, 187.50)
100
(120,90)
100 200 300
400
Number of US dollars
I

PLEASE HELP THERE ARE TWO PARTS!!The Graph Shows The Relationship Between The United States Dollar Andthe

Answers

Answer 1

Answer:

The constant of proportionality of the graph is 0.75

Step-by-step explanation:

The coordinates of the points on the lines are;

(400, 300), (250, 187.5), and (120, 90)

Which can be written in a tabular form as follows;

Number of US dollars   [tex]{}[/tex]                       Number of euros

120                                 [tex]{}[/tex]                        90

250                                [tex]{}[/tex]                        187.5

400                                [tex]{}[/tex]                        300

Given that the graph is a straight line graph, we can represent the graph with the straight line equation, y = m·x + c

Where;

c = The y-intercept (where the graph meets the y-axis) = 0

m = The slope = The constant of proportionality

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]m =\dfrac{300-90}{400-120} = \dfrac{210}{280} = 0.75[/tex]

We have, y = m·x = 0.75·x.

Therefore, the constant of proportionality of the graph = 0.75.


Related Questions

The gas tank of your car was 1/3 full. At the gas station, you added another 2/5 tank of gas. If it takes 1/30 tank of gas to drive round trip to school, how many trips can you make with the gas in the car?

Answers

Answer:

Step-by-step explanation:

(1/3+2/5) divided by 1/30 = 22

22 trips

There are many cylinders with a volume of cubic inches. The height in inches of one of these cylinders is a function of its radius in inches where . What is the height of one of these cylinders if its radius is 2 inches? What is the height of one of these cylinders if its radius is 3 inches? What is the height of one of these cylinders if its radius is 6 inches?

Answers

Answer:

1. If its radius is 2 inches, the height is 36 inches.

2. If its radius is 2 inches, the height is 16 inches.

3. If its radius is 2 inches, the height is 4 inches.

Step-by-step explanation:

Here is the complete question:

There are many cylinders with a volume of 144[tex]\pi[/tex] cubic inches. The height [tex]h(r)[/tex] in inches of one of these cylinders is a function of its radius [tex]r[/tex] in inches where [tex]h(r) =\frac{144}{r^{2} }[/tex] .

1. What is the height of one of these cylinders if its radius is 2 inches?

2. What is the height of one of these cylinders if its radius is 3 inches?

3. What is the height of one of these cylinders if its radius is 6 inches?

Step-by-step explanation:

1. To determine the height of one of the cylinders if its radius is 2 inches,

From the question,

Since height [tex]h(r)[/tex] of one of these cylinders is a function of its radius [tex]r[/tex], and

[tex]h(r) =\frac{144}{r^{2} }[/tex]

Then, when r = 2 inches

[tex]h(r) =\frac{144}{2^{2} }[/tex]

[tex]h(r) =\frac{144}{4 }[/tex]

[tex]h(r) = 36 inches[/tex]

Hence, the height is 36 inches

2. To determine the height of one of the cylinders if its radius is 3 inches,

Again,

[tex]h(r) =\frac{144}{r^{2} }[/tex]

Then, when r = 3 inches

[tex]h(r) =\frac{144}{3^{2} }[/tex]

[tex]h(r) =\frac{144}{9 }[/tex]

[tex]h(r) = 16 inches[/tex]

Hence, the height is 16 inches

3. To determine the height of one of the cylinders if its radius is 6 inches,

Again,

[tex]h(r) =\frac{144}{r^{2} }[/tex]

Then, when r = 6 inches

[tex]h(r) =\frac{144}{6^{2} }[/tex]

[tex]h(r) =\frac{144}{36 }[/tex]

[tex]h(r) = 4 inches[/tex]

Hence, the height is 4 inches.

Write an equation for the line that is perpendicular to the given line and that passes through the given point. y = 2x + 7; (0, 0)

Answers

Answer:

y = 1/-2x + 0 or y = 1/-2x

Step-by-step explanation:

What is the slope of the line that passes through the points (0,0) and (6,0)?
Slope =

Answers

Answer:

0

Step-by-step explanation:

it has a zero slope

0,0

6,0

0-0=0

6-0=6

0/6 is 0

which equaiton applies the assosiative property of multiplication​

Answers

Answer:

3

Step-by-step explanation:

what is $500,000,000 founded off to the nearest tenth​

Answers

Answer:

is this a real question???

Step-by-step explanation:

4 more then a number squared? expression form

Answers

Answer:

4 + x²

Step-by-step explanation:

Given problem:

    4 more then a number squared

Problem:

  Give the expression form;

Solution:

  Let the number x;

So;

   4 more than x squared:

          4 + x²

   

Duncan is excited to begin diving lessons. He starts on the diving board, 5 feet above the surface of the pool. Then, Duncan dives off the board and ends up 7 feet below the surface of the pool .What is the total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool? *

I'll give brainliest if you just tell me multiply, divide, subtract, or add.

Answers

Answer: subtract

Step-by-step explanation:

Answer:

I think subtract

Step-by-step explanation:

subtract

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Answers

Answer: 8¹⁰

Explanation: Since these two powers have the same base of 8, you can

multiply them together by simply adding their exponents to get 8¹⁰.

A common mistake in this problem would be to

multiply the bases together and give an answer of 64¹⁰.

It's important to understand however that the 8's can't be

multiplied together because they are not coefficients, they are bases.

When applying your exponent rules, your base will never change.

Guys Please HELP ME
If you give me answer quickly, I'll give you brainliest. Please help me (20 points)

Questions
1. Find the density of a cylinder with a height of 4mm, a radius of 4mm, and a mass of 250g

2. Find the density of a sphere with radius of 2m and a mass of 2kg

Answers

Answer:

Step-by-step explanation:

1st one is 62.5 kilogramic meter

2nd one is 1 kilo kilogram/cubic meter

Step-by-step explanation:

1)First calculate the volume

v=Pir²h

v=3.15×4²×4

v=201mm³

p=m/v

p=0.250/0.201

p=1.24Kg/m³

2)v=3/4pi r³

v=3/4×3.14×2³

v=33.5m³

p=m/v

p=2/33.5

p=0.0597kg/m³

An)
is a value that does not change​

Answers

Answer:

An)  is a value that does not change​?  yes

Which expression shows how to convert 60 hours to days? StartFraction 60 hours Over 1 EndFraction times StartFraction 1 hour Over 24 days EndFraction StartFraction 60 hours Over 1 EndFraction times StartFraction 1 day Over 24 hours EndFraction StartFraction 60 hours Over 1 EndFraction times StartFraction 24 hours Over 1 day EndFraction StartFraction 60 hours Over 1 EndFraction times StartFraction 24 days Over 1 hour EndFraction

come one people 5 points

Answers

Answer:

60/24

Step-by-step explanation:

Answer:

StartFraction 60 hours Over 1 EndFraction times StartFraction 24 days Over 1 hour EndFraction

Step-by-step explanation:

I'm sorry if this is wrong

A share of stocks gained 12 points, then lost 114 points, and then gained 218 points. Find the overall change in its value.

Answers

Answer:

The overall change is 116points gained

Step-by-step explanation:

Points gained = 12points

Points lost  = 114points

Points gained  = 218points

Unknown:

Overall change in its value  = ?

Solution:

 The overall change  = Total points gained  - Total points lost

                                    = (218 + 12) - 114

                                     = 116points

The overall change is 116points gained

Answer:

its 116

Step-by-step explanation:

12 - 114

-102 + 218 = 116

Solve the following equation. -10=-14v+14v

Answers

There’s no solution because the v’s would equal to 0. And -10 is not equal to 0

23.79 divided by 3 estimate

Answers

Answer:

Answer: 7.93

Estimate: 8

Answer: 7.93, or to the nearest tenths, 7.9

Y is 5 less than the product of 4 and x

Answers

Answer: y=4x-5

Y=4x-5

Plssssa HELP PROBLEM 1 :

Answers

Answer:

2,1 .     4,4 .     5,2

Step-by-step explanation:

Answer:

a' (2,1)

b'(4,4)

c'(5,2)

(x,y)→(x+1,y+4)

Step-by-step explanation:

So the <a'b'c' is <abc translated 1 unit to the right and 4 units up. Whenever it says to move to the right or the left it has to do with the x axis. When you move to the left its subtraction and when you move to the right you addition.

When ever is say to move up or down it has to do with the y-axis. when you move up its addition and when you move down its subtraction. Sooo since the question said to move it to the right and up theyre both going to be addition. Thats why in the translation theyre both addition sign.

Im really bad at explaining things but hope this helps:)

4.49 × 10^–3 in standard form?

Answers

Answer:0.0049

Step-by-step explanation: You move the decimal 3 places to the left because its negative which gives you 0.0049

See attachment for math work and answer.

HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!

Answers

Answer: Reflect across the Y and and move it 7 down

Step-by-step explanation: Reflecting across the Y will turn the (X,Y) into (-X,Y) then you just count how many places the image is away from the preimage.

Use the coordinates of the labeled point to find a point-slope equation of the line

Answers

Answer:

The answer would be C.

Answer:

c

Step-by-step explanation:

Tatianna withdrew $20 from her bank account 3 times.how much did her account change? write your answer as an integer.

Answers

Answer:

$216

Step by step

Explanation:

First we subtract  $ 20 from  $ 84  giving us a total of  $ 64 and when we add that to  $ 152  we get  $ 216

.

Answer:

-60

Step-by-step explanation:

Is y= -9x+.5 proportional

Answers

no its is not proportion

4/-7 + -6/5

In simplest form​

Answers

See attachment for math work and answer.

How much time will it take for a bug to travel 10 meters across the floor it is traveling at
a rate of 2 m/s?

Answers

Answer:

5 seconds

Step-by-step explanation:

First let's use the equation.

D (Distance) = Speed (s) x Time (t)

Now let's find the components given in the problem.

Distance = 10 meters

Speed = 2 m/s

Now let's substitute the values in.

10 = 2t

Now let's solve for t.

10 = 2t

t = [tex]\frac{10}{2}[/tex]

t = 5

Therefore, it will take 5 seconds.

Hope this helped! If not, please let me know! <3

1572 divide 0.3 you must show all workings

Answers

Answer:

5240

Step-by-step explanation:

The 8th and 20th terms of an arithmetic sequence are 20 and 56 respectively. ​What is the 1st term of the sequence.

Answers

Answer:

            a₁ = -1

Step-by-step explanation:

[tex]a_n=a_1+d(n-1)\\\\a_8=a_1+d\cdot7\\\\a_{20}=a_1+d\cdot19\\\\a_{20}-a_8=a_1+19d-(a_1+7d)=12d\\\\56-20=2d\\\\12d=36\\\\d=3\\\\\\ a_1+3\cdot7=20\\\\a_1=20-21=-1[/tex]

If the 8th and 20th terms of an arithmetic sequence are 20 and 56 respectively, then the 1st term of the sequence is -1

The nth term of an arithmetic sequence is given by the formula:

[tex]a_n=a+(n-1)d[/tex]

The 8th term of the arithmetic sequence is 20

[tex]a_8 = 20\\\\a_8=a+(8-1)d\\\\a+7d=20.......................(1)[/tex]

The 20th term of the arithmetic sequence is 56

[tex]a_{20} = 56\\\\a_{20}=a+(20-1)56\\\\a+19d=56.......................(2)[/tex]

Subtract equation (1) from equation (2)

12d  =  36

d  =  36/12

d  =  3

Substitute d = 3 into equation (1)

a  +  7d  =  20

a  +  7(3)  =  20

a  +  21  =  20

a   =  20  -  21

a  =  -1

The first term of the arithmetic sequence is -1

Learn more here: https://brainly.com/question/18417771

Can someone send me the answer to the question in the photo? (with solutions)

Answers

Answer:

This is so easy question .

I can do.

Please answer correctly for brainliest

Answers

Answer:

x ≥ 15

Step-by-step explanation:

5x + 3 ≥ 48

Group like terms

5x ≥ 48 – 3

5x ≥ 45

divide both sides by 5

5x/5 ≥ 45/5

x ≥ 15

Give another name for line JK.

Answers

Answer:

indecsaty

Step-by-step explanation:

the indecsaty of the line more known as a slope is the other name

what is the unit rate for $1.99 per pound

Answers

Answer:

1.99 per pound means the cost of 1 pound is 1.99!!

Step-by-step explanation:

Unit rate means the rate of 1 item

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