Question

Write an equation for the number of sports radio stations for t years after 1996.

A. N(t) = 220 * 1.143^t

B. N(t) = 220 + 14.3t

C. N(t) = 220 * t * 1.143

D. N(t) = 220 + 1.143^t

Answer 1

The correct equation for the number of sports radio stations for t years after 1996 is N(t) = 220 * 1.143^t. This equation represents exponential growth where 220 is the initial number of radio stations and 1.143 is the growth multiplier per year.

Step-by-step explanation:

The correct equation for the number of sports radio stations for t years after 1996 is:

N(t) = 220 * 1.143^t

This equation represents exponential growth, where 220 is the initial number of radio stations and 1.143 is the growth multiplier per year. By raising 1.143 to the power of t, we can calculate the number of radio stations after t years.

For example, if we substitute t = 5 into the equation, we get N(5) = 220 * 1.143^5 = 368.515, meaning there would be approximately 369 sports radio stations after 5 years.