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

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