1. ## Check Answers please (Exponential Functions)

Question:

The population of the state of New New York is given by an exponential function R=R(b) which has the formula
$R = 15 * 1.08^b$
R is measured in millions, b is time measured in years since 1990.

1. What is the population in 1990?
$R(0) = 15 million$

2. What is the yearly growth factor for R?
$\begin{array}{|c|c|c|c|} 0 & 1 & 2 & 3\\
\hline
15&16.2&17.49&18.89\\
\end{array}$

The yearly growth factor is 1.08. ( $16.2/15 = 1.08$ & $17.49/16.2 = 1.08$)

3. What is yearly percentage growth rate for R?
Growth Rate is 1.08; yearly growth percentage is 1.08 - 1 = .08 = 8%

4. What is monthly percentage growth rate for R?
Since yearly growth is .08, .08 / 12 would be .006, so about .6% per month

2. All looks good, be careful of your rounding

0 15.00
1 16.20
2 17.50
3 18.90
4 20.41
5 22.04
6 23.80
7 25.71
8 27.76

3. ok thanks =)