Question

In 1985, there were 285 cell phone subscribers in the small town of Centerville. The number of subscribers increased by 75% per year after 1985. How many were cell phone subscribers in Centerville in 1994? y = a (1 + r) (Fill in answer choices for a r and t.)

Answer 1

In 1985, there were 285 cell phone subscribers in the small town of Centerville.

The number of subscribers increased by 75% per year after 1985.

How many were cell phone subscribers in Centerville in 1994?

The problem can be solved using the exponential growth formula given by

`y=a(1+r)^t`

Where a is the initial population that is 285

r is the growth rate that is 75% in decimal

t is the time in years that is 1994 - 1985 = 9 years

Let us substitute these values into the above formula

`\begin{gathered} y=285\cdot(1+0.75)^9 \\ y=285\cdot(1.75)^9 \\ y=285.(153.937) \\ y=43,872 \end{gathered}`

Therefore, there were approximately 43,872 cell phone subscribers in Centerville in 1994.