Question
A vendor who sold bread at farmers' markets counted the number of leftover loaves at the end of each day.
Loaves of leftover bread
Day Leftover loaves
Monday 56
Tuesday 71
Wednesday 35
Thursday 49
Friday 81
According to the table, what was the rate of change between Wednesday and Friday?
loaves per day
Loaves of leftover bread
Day Leftover loaves
Monday 56
Tuesday 71
Wednesday 35
Thursday 49
Friday 81
According to the table, what was the rate of change between Wednesday and Friday?
loaves per day
Answers
GPT-4o mini
To calculate the rate of change between Wednesday and Friday in terms of leftover loaves, we need to find the difference in the number of leftover loaves between these two days and divide it by the number of days between them.
1. **Count the leftover loaves:**
- Wednesday: 35 loaves
- Friday: 81 loaves
2. **Calculate the difference:**
\[
\text{Difference} = \text{Leftover loaves on Friday} - \text{Leftover loaves on Wednesday} = 81 - 35 = 46 \text{ loaves}
\]
3. **Determine the number of days between Wednesday and Friday:**
- There are 2 days between Wednesday and Friday (Thursday and Friday).
4. **Calculate the rate of change:**
\[
\text{Rate of Change} = \frac{\text{Difference}}{\text{Number of Days}} = \frac{46 \text{ loaves}}{2 \text{ days}} = 23 \text{ loaves per day}
\]
Thus, the rate of change between Wednesday and Friday is **23 loaves per day**.
1. **Count the leftover loaves:**
- Wednesday: 35 loaves
- Friday: 81 loaves
2. **Calculate the difference:**
\[
\text{Difference} = \text{Leftover loaves on Friday} - \text{Leftover loaves on Wednesday} = 81 - 35 = 46 \text{ loaves}
\]
3. **Determine the number of days between Wednesday and Friday:**
- There are 2 days between Wednesday and Friday (Thursday and Friday).
4. **Calculate the rate of change:**
\[
\text{Rate of Change} = \frac{\text{Difference}}{\text{Number of Days}} = \frac{46 \text{ loaves}}{2 \text{ days}} = 23 \text{ loaves per day}
\]
Thus, the rate of change between Wednesday and Friday is **23 loaves per day**.