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 12 miles? Round your answer to the nearest unit.

Since intensity varies inversely with the square of distance, I × d² is constant. At 2 miles, the constant is 8000 × 2² = 32,000, so at 12 miles the intensity is 32,000 ÷ 12² = 32,000 ÷ 144 ≈ 222 units. The correct choice is 222 units.

AI-written and checked against the verified answer.