AnswersEAP-Algebra Functions and Data Analysis BInverse Variation

Inverse Variation Answers

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If y varies inversely as x and y is 6 when x is 11, what is x when y is 13.2?

A
2.73
B
8.8
C
0.37
D
5
2
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Choose the equation that models the following statement: The current, I amps, produced by a battery is inversely proportional to the resistance, R ohms a. I = kR c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
3

If y varies inversely as x and y is 1.5 when x is 8, what is y when x is 2?

A
0.09
B
12
C
6
D
0.38
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 intensity of a radio signal from the radio station varies inversely as the square of the distance from the station. Suppose intensity is 8000 units at a distance of 2 miles. What will the intensity be at a distance of 11 miles? Round your answer to the nearest unit.

A
247 units
B
228 units
C
264 units
D
290 units
6

If y varies inversely as and y = 3 when x = 18, what is y when x = 3?

Question illustration
A
6
B
108
C
54
D
27
7

If y varies inversely with x, and y = 2 when x = 8, what is k, the constant of proportionality?

A
16
B
32
C
8
D
24
8

Solve:

Question illustration
A
x = 5
B
x = 10
C
x = 20
D
x = 15
9

The current I in an electrical conductor varies inversely as the resistance R of the conductor. The current is 2 amperes when the resistance is 770 ohms. What is the current when the resistance is 808 ohms? Round your answer to two decimal places if necessary.

A
1.9 amps
B
2.1 amps
C
0.48 amps
D
0.52 amps
10

Solve:

Question illustration
A
x = 40
B
x = 10
C
x = 20
D
x = 15
11

In an inverse variation, what happens to the values of the two variables?

A
they are both constant
B
they both decrease
C
as one value increases, the other increases
D
as one value increases, the other decreases
12

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
13

Use the equation to determine the pressure when the volume is 12 liters.

Question illustration
A
0.83
B
0.56
C
120
D
12
14

The current (I) in an electrical conductor varies inversely as the resistance (R) of the conductor. The current is 6 amperes when the resistance is 722 ohms. What is the current when the resistance is 768 ohms? Round your answer to two decimal places if necessary.

A
5.6 amps
B
0.16 amps
C
6.4 amps
D
0.18 amps
15

Choose the equation that models the following statement: The current, I amps, produced by a battery is inversely proportional to the resistance, R ohms a. I = kR c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
16

If y varies inversely with x, and y = 2 when x = 8, what is k, the constant of proportionality?

A
16
B
32
C
8
D
24
17

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 192 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
18

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. If a person weighs 180 pounds on the surface of the earth and the radius of the earth is 3900 miles, what will the person weigh if he or she is 325 miles above the earth's surface? Round your answer to the nearest hundredth of a pound.

A
154.77 lb
B
153.77 lb
C
152.87 lb
D
153.37 lb
19

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 192 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
20

Use the equation to determine the current (I) when the R is 20 ohms.

Question illustration
A
20
B
0.5
C
0.2
D
10

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