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 46
Wednesday 46
Thursday 48
Friday 47
Saturday 59
According to the table, what was the rate of change between Tuesday and Friday?
Round your answer to the nearest tenth.
minutes per day

Answer 1

To calculate the rate of change in food preparation time between Tuesday and Friday, we'll follow these steps:

1. Identify the food preparation times for Tuesday and Friday:
- Tuesday: 46 minutes
- Friday: 47 minutes

2. Calculate the change in food preparation time:
\[
\text{Change in time} = \text{Friday's time} - \text{Tuesday's time} = 47 - 46 = 1 \text{ minute}
\]

3. Determine the number of days between Tuesday and Friday:
- From Tuesday to Friday is a total of 3 days (Wednesday, Thursday, and Friday).

4. Calculate the rate of change (in minutes per day):
\[
\text{Rate of change} = \frac{\text{Change in time}}{\text{Number of days}} = \frac{1 \text{ minute}}{3 \text{ days}} \approx 0.3333 \text{ minutes per day}
\]

5. Round to the nearest tenth:
\[
0.3333 \text{ rounded to the nearest tenth is } 0.3.
\]

Therefore, the rate of change between Tuesday and Friday is approximately **0.3 minutes per day**.