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
[tex]y=a(1+r)^t[/tex]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
[tex]\begin{gathered} y=285\cdot(1+0.75)^9 \\ y=285\cdot(1.75)^9 \\ y=285.(153.937) \\ y=43,872 \end{gathered}[/tex]Therefore, there were approximately 43,872 cell phone subscribers in Centerville in 1994.
