Question
Callie sells cookies each Friday at her local farmers market. The graph shows the amount of money Callie has earned from cookie sales this season
Week 2 is $7 week 8 is $28 what does the rate of change represent
Week 2 is $7 week 8 is $28 what does the rate of change represent
Answers
GPT-4o mini
To determine what the rate of change represents in Callie's cookie sales from week 2 to week 8, we can first calculate the change in her earnings over this time period.
1. Calculate the change in earnings:
- Earnings at week 8: $28
- Earnings at week 2: $7
- Change in earnings = $28 - $7 = $21
2. Calculate the change in the number of weeks:
- Weeks from week 2 to week 8: 8 - 2 = 6 weeks
3. Calculate the rate of change:
- Rate of change = Change in earnings / Change in weeks
- Rate of change = $21 / 6 weeks = $3.50 per week
The rate of change of $3.50 per week represents the average increase in the amount of money Callie earns from selling cookies each subsequent week between week 2 and week 8. This suggests that, on average, her sales increase by $3.50 each week over that period.
1. Calculate the change in earnings:
- Earnings at week 8: $28
- Earnings at week 2: $7
- Change in earnings = $28 - $7 = $21
2. Calculate the change in the number of weeks:
- Weeks from week 2 to week 8: 8 - 2 = 6 weeks
3. Calculate the rate of change:
- Rate of change = Change in earnings / Change in weeks
- Rate of change = $21 / 6 weeks = $3.50 per week
The rate of change of $3.50 per week represents the average increase in the amount of money Callie earns from selling cookies each subsequent week between week 2 and week 8. This suggests that, on average, her sales increase by $3.50 each week over that period.