Question

suppose that the population of deer in a state is 16,000 and is growing 1%each year Predict population after 6 years

Answer 1

16984

Explanation:

Given

`a = 16000` ---- Initial

`r = 1\%` --- rate

Required

Determine the population after 6 years

To do this, we make use of the following exponential function

`f(x) = a(r+1)^x`

Substitute values for a and r

`f(x) = 16000(1\%+1)^x`

Express 1% and decimal

`f(x) = 16000(0.01+1)^x`

`f(x) = 16000(1.01)^x`

The population after 6 years is:

Substitute 6 for years

`f(6) = 16000(1.01)^6`

`f(6) = 16984.3224096`

`f(6) = 16984` -- approximated