Question

The manager of a deli counted the number of sandwiches sold each day.
Sandwich sales
Day Sandwiches sold
Monday 362
Tuesday 394
Wednesday 331
Thursday 428
Friday 425
According to the table, what was the rate of change between Monday and Wednesday?
sandwiches per day

Answer 1

To find the rate of change in sandwiches sold between Monday and Wednesday, you need to subtract the number of sandwiches sold on Monday from the number sold on Wednesday and then divide that difference by the number of days between them.

1. **Number of sandwiches sold:**
- Monday: 362
- Wednesday: 331

2. **Calculate the change in sandwiches sold:**
\[
\text{Change} = \text{Sandwiches on Wednesday} - \text{Sandwiches on Monday} = 331 - 362 = -31
\]

3. **Calculate the number of days between Monday and Wednesday:**
There are 2 days (Tuesday and Wednesday).

4. **Calculate the rate of change:**
\[
\text{Rate of change} = \frac{\text{Change}}{\text{Number of days}} = \frac{-31}{2} = -15.5
\]

So, the rate of change in the number of sandwiches sold between Monday and Wednesday is \(-15.5\) sandwiches per day.