Inverse Variation Answers

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1
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Solve:

Question illustration
A
x = 5
B
x = 10
C
x = 20
D
x = 15
2
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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
3

Solve:

Question illustration
A
x = 40
B
x = 10
C
x = 20
D
x = 15
4

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
5

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
6

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
7

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
8

Choose the equation that models the following statement: The pressure, P, of a given mass of a gas in a closed cylinder varies inversely as the volume, V, of the cylinder. a. P = kV c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
9

A quantity a varies inversely as a quantity b, if, when b changes, a changes in the inverse ratio. What happens to the quantity a if the quantity b doubles?

A
quantity a triples
B
quantity a doubles
C
quantity a stays the same
D
quantity a halves
10

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

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