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

Question

Clinton Weeks

Mathematics

13 April, 19:03

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

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Answers (1)

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Dewey · Answer 1

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