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.

Respuesta :

Let I represent intensity and and d the distance;
I[tex] \alpha \frac{1}{ d^{2} } [/tex]
When I=8000
8000=[tex] \frac{k}{4} [/tex]
k=32000
I=[tex] \frac{32000}{d} [/tex]
I=[tex] \frac{32000}{121} [/tex]
I=265 units