Question

the amount of money, in dollars, sarah has in her savings account is modeled as a function of time in months. this function is represented by the graph below
sarahs savings account
what is the average rate of change for the amount of money, in dollars per month, from month 0 to month 12?

Explanation:

Step1: Identify start/end values

At month 0: $\$200$; At month 12: $\$400$

Step2: Apply average rate formula

Average rate = $\frac{\text{Change in money}}{\text{Change in time}}$
$\text{Average rate} = \frac{400 - 200}{12 - 0}$

Step3: Calculate the result

$\frac{200}{12} = \frac{50}{3} \approx 16.67$

Answer:

The average rate of change is $\frac{50}{3}$ (or approximately $\$16.67$) per month.