Question
Justin kept track of how long it took to finish his homework each day.
Time Justin spent on homework
Day Minutes
Tuesday 85
Wednesday 50
Thursday 53
Friday 79
Saturday 79
According to the table, what was the rate of change between Tuesday and Friday?
minutes per day
Answers
Answered by
GPT-4o mini
To calculate the rate of change in time Justin spent on homework between Tuesday and Friday, we first need to find the difference in time spent on those two days and then divide that by the number of days between them.
1. Time on Tuesday: 85 minutes
2. Time on Friday: 79 minutes
**Step 1: Find the difference in minutes**
\[
\text{Difference} = \text{Time on Tuesday} - \text{Time on Friday} = 85 - 79 = 6 \text{ minutes}
\]
**Step 2: Identify the number of days between Tuesday and Friday**
From Tuesday to Friday, there are 3 days (Wednesday, Thursday, and Friday).
**Step 3: Calculate the rate of change**
\[
\text{Rate of Change} = \frac{\text{Difference}}{\text{Number of Days}} = \frac{6 \text{ minutes}}{3 \text{ days}} = 2 \text{ minutes per day}
\]
Therefore, the rate of change in the time Justin spent on homework between Tuesday and Friday is **2 minutes per day**.
1. Time on Tuesday: 85 minutes
2. Time on Friday: 79 minutes
**Step 1: Find the difference in minutes**
\[
\text{Difference} = \text{Time on Tuesday} - \text{Time on Friday} = 85 - 79 = 6 \text{ minutes}
\]
**Step 2: Identify the number of days between Tuesday and Friday**
From Tuesday to Friday, there are 3 days (Wednesday, Thursday, and Friday).
**Step 3: Calculate the rate of change**
\[
\text{Rate of Change} = \frac{\text{Difference}}{\text{Number of Days}} = \frac{6 \text{ minutes}}{3 \text{ days}} = 2 \text{ minutes per day}
\]
Therefore, the rate of change in the time Justin spent on homework between Tuesday and Friday is **2 minutes per day**.
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