Question

An administrator at the Department of Motor Vehicles (DMV) tracked the average wait time from month to month.
Average waiting time at the DMV
Month Waiting time (minutes)
June 23
July 32
August 23
September 32
October 23
According to the table, what was the rate of change between June and August?
___ minutes per month

Answer 1

To find the rate of change in average waiting time between June and August, we can use the formula for the rate of change:

\[
\text{Rate of Change} = \frac{\text{Change in Waiting Time}}{\text{Change in Time (Months)}}
\]

Let's plug in the values:

- Waiting time in June = 23 minutes
- Waiting time in August = 23 minutes
- Change in Time = August - June = 2 months

Now, calculate the change in waiting time:

\[
\text{Change in Waiting Time} = \text{Waiting time in August} - \text{Waiting time in June} = 23 - 23 = 0 \text{ minutes}
\]

Now, substitute these into the formula:

\[
\text{Rate of Change} = \frac{0}{2} = 0 \text{ minutes per month}
\]

Thus, the rate of change between June and August is **0 minutes per month**.