Question

Amy invested in an account. The graph shows the amount of money in her account given the number of years since she first invested money in the account.

Answer 1

To solve this question, we will use the following formula for the average rate of change in the interval [a,b]:

$A=\frac{f(b)-f(a)}{b-a}.$

From the given graph, we know that:

$\begin{gathered} f(6)\approx590, \\ f(0)=500. \end{gathered}$

Therefore, the approximate rate of change of the first 6 years is:

$A=\frac{590-500}{6-0}=\frac{90}{6}=15.$

The closest answer from the options is $16.

Answer: $16.