Question

The manager of a deli counted the number of sandwiches sold each day. Sandwich sales Day Sandwiches sold Sunday 72 Monday 72 Tuesday 68 Wednesday 87 Thursday 68 According to the table, what was the rate of change between Sunday and Thursday?

Answer 1

To find the rate of change in the number of sandwiches sold between Sunday and Thursday, we can use the formula for the rate of change:

\[
\text{Rate of Change} = \frac{\text{Change in sandwiches}}{\text{Change in days}}
\]

From the data provided:

- **Sandwiches sold on Sunday**: 72
- **Sandwiches sold on Thursday**: 68

Now calculate the change in sandwiches sold:

\[
\text{Change in sandwiches} = \text{Sandwiches sold on Thursday} - \text{Sandwiches sold on Sunday} = 68 - 72 = -4
\]

Next, determine the change in days. From Sunday to Thursday, there are 4 days (Sunday, Monday, Tuesday, Wednesday, Thursday):

\[
\text{Change in days} = 4
\]

Now, plug these values into the rate of change formula:

\[
\text{Rate of Change} = \frac{-4}{4} = -1
\]

Therefore, the rate of change in sandwiches sold between Sunday and Thursday is \(-1\) sandwich per day. This indicates that the sales decreased by 1 sandwich per day over that period.