Question

A. Find the exponential function for the give information

b. Estimate the population of the town in 2016

c. Estimate when the population will be 8,000

Answer 1

a)

`p(x) = 10000( {.997}^(x) )`

b)

`p(11) = 10000( {.997}^(11) ) = 9675`

c)

`10000( {.997}^(x) ) = 8000`

`x = 74.27 \: years`

The population will be 8,000 in about 74.27 years after 2005, or sometime in 2079.