To determine how much the average amount of flour left in the bag changes each day, we can start by calculating how much flour is used each day.
The restaurant uses a 15-pound bag of flour over 4 days, so:
- Calculate the daily usage of flour:
\[ \text{Daily usage} = \frac{\text{Total weight}}{\text{Number of days}} = \frac{15 \text{ pounds}}{4 \text{ days}} = 3.75 \text{ pounds/day} \]
This means that, on average, 3.75 pounds of flour is used each day.
- To find the average amount of flour in the bag at the end of each day, we can list the amounts as follows:
- Day 0 (start): 15 pounds
- Day 1: \( 15 - 3.75 = 11.25 \) pounds
- Day 2: \( 11.25 - 3.75 = 7.5 \) pounds
- Day 3: \( 7.5 - 3.75 = 3.75 \) pounds
- Day 4 (end): \( 3.75 - 3.75 = 0 \) pounds
- Calculate the average amount of flour for each of those days:
- Day 0: 15 pounds
- Day 1: 11.25 pounds
- Day 2: 7.5 pounds
- Day 3: 3.75 pounds
- Day 4: 0 pounds
- Now, find the average amount of flour over the 4 days:
\[ \text{Average} = \frac{15 + 11.25 + 7.5 + 3.75 + 0}{5} = \frac{37.5}{5} = 7.5 \text{ pounds} \]
So, the average amount of flour in the bag decreases by \(3.75\) pounds per day, and the average amount of flour left each day is \(7.5\) pounds when considered over the entire duration of the 4 days.
6 answers