I apologize for the misunderstanding. Let's clarify what is being asked.
If the restaurant uses a 15-pound bag of flour over 4 days, we want to determine how much the average amount of flour in the bag changes each day, not just the amount used.
The average amount of flour remaining in the bag each day is calculated as follows:
- Initial amount: 15 pounds on Day 0.
- Amount left at the end of each day:
- After Day 1: 15 - (15/4) = 15 - 3.75 = 11.25 pounds
- After Day 2: 15 - 2(15/4) = 15 - 7.5 = 7.5 pounds
- After Day 3: 15 - 3(15/4) = 15 - 11.25 = 3.75 pounds
- After Day 4: 0 pounds (all used).
The amounts of flour remaining at the end of each day would be:
- Day 0: 15 pounds
- Day 1: 11.25 pounds
- Day 2: 7.5 pounds
- Day 3: 3.75 pounds
- Day 4: 0 pounds
Average amount in the bag each day can be calculated as:
\[
\text{Average} = \frac{(15 + 11.25 + 7.5 + 3.75 + 0)}{5}
\]
Calculating this step by step:
\[
15 + 11.25 + 7.5 + 3.75 + 0 = 37.5
\]
\[
\text{Average} = \frac{37.5}{5} = 7.5 \text{ pounds}
\]
Now, to find how much the average amount of flour changes each day, we will compare the average amount per day to the amount of flour used on average:
The total change over 4 days is from 15 pounds down to 0 pounds, which is a total change of 15 pounds over 4 days. The average change per day is:
\[
\text{Average change per day} = \frac{15 \text{ pounds}}{4 \text{ days}} = 3.75 \text{ pounds/day}
\]
Since you might have expected the average amount to be calculated differently, if we're determining how much the average changes day over day (using the average amounts):
- The average decreases each day by the consistent amount of flour used, which we calculated as \(3.75\) per day.
So, if we consider it in terms of an average decrease, it is \(3.75\) pounds per day, and that does not change, implying consistency in usage.
If your question is strictly related to how much the average amount in the bag decreases per day, the answer is again \(3.75\) pounds per day, effectively matching the change calculated from the starting and ending averages.
If this does not address your need, please provide clarification on your requirement. Thank you!