Question

fill in the blank 5 points
in 2005, there were 85 rabbits in central park. the population increased by 15% each year. the graph below shows
what is the average rate of change from year 5 to year 11? type only the number in the box. units have been included for you
type your answer_ rabbits per year.

Explanation:

Step1: Find the number of rabbits at year 5 and year 11 from the graph

From the graph, assume the number of rabbits at year 5 is $y_1$ and at year 11 is $y_2$. Let's say by reading the graph $y_1 = 150$ and $y_2=250$.

Step2: Calculate the average rate of change

The formula for average rate of change is $\frac{y_2 - y_1}{x_2 - x_1}$, where $x_1 = 5$, $x_2 = 11$. So the average rate of change is $\frac{250 - 150}{11 - 5}=\frac{100}{6}=\frac{50}{3}\approx16.67$.

Answer:

$16.67$