Question

How do you write an exponential function to model the situation. Then estimate the value of the function after 5 years. A population of 290 animals that increases at an annual rate of 9%?

Answer 1

`N=290xx1.09^Y`

Explanation:

An compounded increase of `9%` means the growth factor is `1.09`, in other words the population will be multiplied by `1.09` every year:

After 5 years the number will be:

`290xx1.09^5=290xx1,5386...~~446`

Note:
The general function is `N=BxxG^T`

Where `N=` new, `B=`begin, `G=`growth factor, `T=`number of periods.

The growth factor can be derived from the percentage growth by:
`G=1+-P/100` where `P=`percentage growth (or decline).