Question

The number of cell phone accounts in a certain country has increased exponentially for the last decade. The number of cell phone accounts​ (in millions) in this country can be approximated by the following function. Estimate the number of cell phone accounts in 2003.

f(x)= 114.8e.125x (0
What was the approximate number of cell phone accounts in 2003?

Answer 1

See Below

Explanation:

The equation estimating the number of cellphones in the country is:

`f(x)=114.8 e^(0.125x)`

Where x = 0 corresponds to year 2000

thus,

x = 1 is year 2001

x = 2 is year 2002

x = 3 is year 2003

and so on...

We want approx. number of cellphones in the country in 2003. This corresponds to x = 3. So substituting in the equation we get:

`f(x)=114.8 e^(0.125x)\\f(3)=114.8 e^(0.125(3))\\f(3)= 167.03`

So, approximately there were 167.03 million cellphones in the country in 2003