name roland penny 39 - 53 leap practice - ave...
name roland penny 39 - 53 leap practice - average rate of change 1. amy has money invested in an account. the graph depicts her balance in the account given the number of years since she first invested money in the account. balance in amys investment over time what is the average rate of change in the balance of the account from amys initial investment through year 6? a. $10 per year b. $16 per year c. $42 per year d. $100 per year
Answer
# Explanation:
## Step1: Identify initial - value
At $x = 0$, from the graph, the balance $y_1=500$.
## Step2: Identify value at year 6
At $x = 6$, from the graph, the balance $y_2 = 750$.
## Step3: Use average - rate - of - change formula
The formula for average rate of change is $\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0$, $x_2=6$, $y_1 = 500$, $y_2 = 750$. So, $\frac{750 - 500}{6-0}=\frac{250}{6}\approx42$.
# Answer:
C. $42 per year