Question

Mr.james runs a petting zoo. he records the number of visitors each week,v, t weeks, after opening the petting zoo. according to the table what is the average rate of change over the interval [2,5]

a.57 visitors per month
b. 28 visitors per month
c. 36 visitors per month
d 19 visitors per month ​

Answer 1

`\large \boxed{\text{19 visitors/mo}}`

Explanation:

The average rate of change is the change in the number of visitors divided by the change in the number of months.

1. Change in number of visitors

Change in visitors = 182 -125 = 57 visitors

2. Change in number of weeks

Change in time = 5 - 2 = 3 months

3. Average rate of change

`\begin{array}{rcl}\text{Average rate of change} &= &\frac{\text{change in visitors}}{\text{change in months}}\\\\&= &\frac{\text{57 visitors}}{\text{3 mo}}\\\\& = & \textbf{19 visitors/mo}\\\end{array}\\\text{The average rate of change is $\large \boxed{\textbf{19 visitors/mo}}$}`