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.

The ratio of the new distance to the old distance is  (11/2) .

The intensity is inversely proportional to the square of the distance,
so the new intensity will be  (2/11)²  times the old intensity.

Intensity =                 8,000 (2/11)² =

                               32,000 / 121  =  262.463  units

   Rounded to the nearest whole unit:  262 units