Solve.
-The intensity of a radio signal from a radio station varies inversely as the square of the distance from the station. If the intensity is 8000 units at a distance of 2 miles, what will it be at a distance of
5 miles?
A) 1306 units
B) 1244 units
C) 1280 units
D) 1263 units

Question

Quizplus · Accepted Answer

Using the inverse square formula, we have:
I=k/d^2
where I is the intensity, k is the constant of proportionality, and d is the distance from the station.

We can solve for k by plugging in the given values:
8000=k/2^2
k=8000*4=32000

Now we can use the same formula to find the intensity at 5 miles:
I=32000/5^2=1280 units.

Therefore, the answer is choice C, 1280 units.

Solve. -The Intensity of a Radio Signal from a Radio Station