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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 22
July 34
August 39
September 34
October 39
According to the table, when was the rate of change greater?
between september and october
between June and July

1 answer

To determine where the rate of change in wait times is greater between the given months, we can calculate the change in wait times and the time period for both intervals.

  1. Between June and July:

    • June: 22 minutes
    • July: 34 minutes
    • Change = 34 - 22 = 12 minutes
    • Time period = 1 month

    Rate of change = Change / Time period = 12 minutes / 1 month = 12 minutes per month

  2. Between September and October:

    • September: 34 minutes
    • October: 39 minutes
    • Change = 39 - 34 = 5 minutes
    • Time period = 1 month

    Rate of change = Change / Time period = 5 minutes / 1 month = 5 minutes per month

Now, comparing the rates of change:

  • Between June and July: 12 minutes per month
  • Between September and October: 5 minutes per month

Thus, the rate of change was greater between June and July.