Question

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

Answer 1

The answer would be C.264unints

Explanation:

Intensity=k/(distance)² where k is a constant

8000=k/2²

8000=k/4

k=32000

If distance is 11 miles, Intensity=k/11²

=32000/121

=264.46units

≈264units

Answer 2

Intensity=k/(distance)² where k is a constant
8000=k/2²
8000=k/4
k=32000

If distance is 11 miles, Intensity=k/11²
=32000/121
=264.46units
≈264units