Question

In 1987, there were 200 cell phone subscribers in a small town. The number of

subscribers has increased 65% per year since 1987.
i. Write the equation that determines the number of subscribers tyears after 1987.

Answer 1

Explanation:

Let S(t) be the number of cell phone subscribers t years after 1987. Then we know that in 1987 (i.e., t=0), there were 200 subscribers. We also know that the number of subscribers has increased 65% per year, which means that each year the number of subscribers is 1.65 times the previous year's number. Therefore, the equation that determines the number of subscribers t years after 1987 is:

S(t) = 200 x 1.65^t

where t is the number of years after 1987.