AnswersEAP-Algebra Functions and Data Analysis BInverse Variation

Topic Test Answers

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If y varies inversely as x and x is 6 when y is 13, what is x when y is 8?

A
9.75
B
3.69
C
0.27
D
6.5
2
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For the function defined by , What is the constant of proportionality?

Question illustration
A
120
B
undefined
C
12
D
1200
3

If y varies directly as x and y = 208 when x = 16, what is the value of y when x = 11?

A
143
B
121
C
16
D
169
4

The weight of a person on or above the surface of the earth varies inversely as the square of the distance the person is from the center of the earth. A particular person weighs 179 pounds on the surface of the earth and the radius of the earth is 3900 miles. Determine the equation that relates weight, W, to the distance from the center of the earth, d, for this person. a. b. c. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
5

The variables x and y vary directly. Use the given values to write an equation that relates x and y. x = 18 y = 6 a. c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
6

If y varies directly as x and y = 208 when x = 16, what is the value of y when x = 11?

A
143
B
121
C
16
D
169
7

The variables x and y vary directly. Given the equation y = 2x , find the value of x wheny = 10.

A
10
B
5
C
20
D
8
8

If y varies inversely as x and y = 18 when x = 4, what is y when x = 24?

A
12
B
6
C
3
D
16
9

If y varies inversely as and y = 6 when x = 30, what is y when x = 6?

Question illustration
A
216
B
5
C
180
D
150
10

The distance D that a spring is stretched by a hanging object varies directly as the weight W of the object. If a 9-kg object stretches a spring 54 cm, find the distance when the weight is 2-kg. Round your answer to the nearest whole centimeter.

A
65 cm
B
12 cm
C
0 cm
D
6 cm
11

Use the equation to determine the pressure when the volume is 10 liters.

Question illustration
A
10
B
0.1
C
100
D
1
12

State the relationship between the graphs of f(x) and g(x).

Question illustration
A
f and g are reflections of each other about the y-axis.
B
f and g are reflections of each other about the x-axis.
C
g is shifted to the left 5 units relative to f, otherwise they are the same.
D
g is shifted to the right 5 units relative to f, otherwise they are the same.
13

The weight that a horizontal beam can support varies inversely as the length of the beam. Suppose that a 2-m beam can support 310 kg. How many kilograms can a 10-m beam support?

A
0.0161 kg
B
62 kg
C
15.5 kg
D
0.0645 kg
14

Suppose y varies directly as x. If y = 7 when x = 28, what is the value of x when y = 3?

A
7
B
9
C
12
D
16
15

The number of hours, h, it takes for a block of ice to melt varies inversely as the temperature, t. If it takes 3 hours for a square inch of ice to melt at 60 degrees, find the constant of proportionality

A
150
B
180
C
210
D
200
16

The weight of a person on or above the surface of the earth varies inversely as the square of the distance the person is from the center of the earth. A particular person weighs 179 pounds on the surface of the earth and the radius of the earth is 3900 miles. Determine the equation that relates weight, W, to the distance from the center of the earth, d, for this person. a. b. c. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
17

Which is the correct graph of ? a. c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
18

If y varies inversely as x and y is 6 when x is 12, what is x when y is 14.4?

A
5
B
0.4
C
9.6
D
2.5
19

Explain why no part of the graph appears below the x-axis?

Question illustration
A
The y-value is always negative
B
The y-value is always positive
C
The y-value is always zero
D
The y-value is always 10
20

Solve:

Question illustration
A
x = 5
B
x = 10
C
x = 20
D
x = 15

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