Question
A restaurant's average food preparation time was tracked from day to day as part of an efficiency improvement program.
Average food preparation time
Day Food preparation time (minutes)
Tuesday 32
Wednesday 25
Thursday 24
Friday 26
Saturday 26
According to the table, what was the rate of change between Tuesday and Wednesday?
minutes per day
Average food preparation time
Day Food preparation time (minutes)
Tuesday 32
Wednesday 25
Thursday 24
Friday 26
Saturday 26
According to the table, what was the rate of change between Tuesday and Wednesday?
minutes per day
Answers
GPT-4o mini
To find the rate of change in average food preparation time between Tuesday and Wednesday, you can use the formula:
\[
\text{Rate of Change} = \frac{\text{Change in value}}{\text{Change in time}}
\]
From the table, the food preparation times are as follows:
- Tuesday: 32 minutes
- Wednesday: 25 minutes
Now, calculate the change in food preparation time:
\[
\text{Change in value} = \text{Wednesday's time} - \text{Tuesday's time} = 25 - 32 = -7 \text{ minutes}
\]
The change in time (days) between Tuesday and Wednesday is 1 day.
Now, plug in the values:
\[
\text{Rate of Change} = \frac{-7 \text{ minutes}}{1 \text{ day}} = -7 \text{ minutes per day}
\]
So, the rate of change between Tuesday and Wednesday is \(-7\) minutes per day. This indicates that the food preparation time decreased by 7 minutes from Tuesday to Wednesday.
\[
\text{Rate of Change} = \frac{\text{Change in value}}{\text{Change in time}}
\]
From the table, the food preparation times are as follows:
- Tuesday: 32 minutes
- Wednesday: 25 minutes
Now, calculate the change in food preparation time:
\[
\text{Change in value} = \text{Wednesday's time} - \text{Tuesday's time} = 25 - 32 = -7 \text{ minutes}
\]
The change in time (days) between Tuesday and Wednesday is 1 day.
Now, plug in the values:
\[
\text{Rate of Change} = \frac{-7 \text{ minutes}}{1 \text{ day}} = -7 \text{ minutes per day}
\]
So, the rate of change between Tuesday and Wednesday is \(-7\) minutes per day. This indicates that the food preparation time decreased by 7 minutes from Tuesday to Wednesday.