Inverse Variation

Question 1

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.

Revolt · Accepted Answer

264 units

Question 2

The number of hours, h, it takes for a block of ice to melt varies inversely as the temperature, t. If it takes 2 hours for a square inch of ice to melt at 70 degrees, find the constant of proportionality

Revolt · Accepted Answer

140

Question 3

Solve:

Revolt · Accepted Answer

x = 5

Question 4

If y varies inversely as x and y is 2.5 when x is 6, what is y when x is 4?

Revolt · Accepted Answer

3.75

Question 5

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?

Revolt · Accepted Answer

quantity a halves

Question 6

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

Revolt · Accepted Answer

as one value increases, the other decreases

Question 7

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

Revolt · Accepted Answer

5

Question 8

Solve:

Revolt · Accepted Answer

x = 10

Inverse Variation Answers

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