Question
Erin, a doctor's office receptionist, tracked the average waiting time at the office each month. Average waiting time at a doctor's office Month Waiting time (minutes) June 30 July 24 August 26 September 30 October 27 According to the table, what was the rate of change between June and August?
Answers
GPT-4o mini
To find the rate of change in waiting time between June and August, we first need to identify the waiting times for those months:
- Waiting time in June: 30 minutes
- Waiting time in August: 26 minutes
Now we can use the formula for the rate of change, which is:
\[
\text{Rate of change} = \frac{\text{Change in waiting time}}{\text{Change in time}}
\]
The change in waiting time from June to August is:
\[
26 - 30 = -4 \text{ minutes}
\]
The change in time (from June to August) is 2 months (July and August).
Now we can calculate the rate of change:
\[
\text{Rate of change} = \frac{-4 \text{ minutes}}{2 \text{ months}} = -2 \text{ minutes per month}
\]
So, the rate of change in waiting time between June and August is \(-2\) minutes per month. This means the average waiting time decreased by 2 minutes each month during that period.
- Waiting time in June: 30 minutes
- Waiting time in August: 26 minutes
Now we can use the formula for the rate of change, which is:
\[
\text{Rate of change} = \frac{\text{Change in waiting time}}{\text{Change in time}}
\]
The change in waiting time from June to August is:
\[
26 - 30 = -4 \text{ minutes}
\]
The change in time (from June to August) is 2 months (July and August).
Now we can calculate the rate of change:
\[
\text{Rate of change} = \frac{-4 \text{ minutes}}{2 \text{ months}} = -2 \text{ minutes per month}
\]
So, the rate of change in waiting time between June and August is \(-2\) minutes per month. This means the average waiting time decreased by 2 minutes each month during that period.