Answer:
The number of subscribers in 2008 is 110,845,988
Step-by-step explanation:
The number of cell phone subscribers in Arlington, in t years after 1985, can be modeled by the following equation.
[tex]N(t) = N(0)(1+r)^{t}[/tex]
And which N(0) is the number of subscribers in 1985 and r is the rate it increases per year, as a decimal.
In 1985, there were 285 cell phone subscribers in Arlington.
This means that [tex]N(0) = 285[/tex]
The number of subscribers increased by 75% per year since 1985.
This means that [tex]r = 0.75[/tex]
So
[tex]N(t) = 285(1.75)^{t}[/tex]
Find the number of subscribers in 2008.
2008 is 2008-1985 = 23 years after 1985. So we have to find N(23).
[tex]N(23) = 285(1.75)^{23} = 110,845,988[/tex]
The number of subscribers in 2008 is 110,845,988
