Question

The manager of a deli counted the number of sandwiches sold each day.
Sandwich sales
Day Sandwiches sold
Monday 85
Tuesday 78
Wednesday 79
Thursday 88
Friday 76
According to the table, what was the rate of change between Tuesday and Friday?
Round your answer to the nearest tenth.
sandwiches per day

Answer 1

To find the rate of change in sandwich sales between Tuesday and Friday, we can use the formula for the rate of change:

\[
\text{Rate of Change} = \frac{\text{Change in Quantity}}{\text{Change in Time}}
\]

First, we need to calculate the change in the number of sandwiches sold and the change in the number of days between Tuesday and Friday.

- **Sandwiches sold on Tuesday**: 78
- **Sandwiches sold on Friday**: 76

Now, calculate the change in sandwiches sold:

\[
\text{Change in Quantity} = \text{Sandwiches sold on Friday} - \text{Sandwiches sold on Tuesday} = 76 - 78 = -2
\]

Next, determine the change in time. The change in days from Tuesday to Friday is:

\[
\text{Change in Time} = \text{Friday} - \text{Tuesday} = 3\, \text{days}
\]

Now we can calculate the rate of change:

\[
\text{Rate of Change} = \frac{-2}{3} \approx -0.6667
\]

Rounding to the nearest tenth gives us:

\[
\text{Rate of Change} \approx -0.7
\]

Thus, the rate of change in sandwich sales between Tuesday and Friday is approximately **-0.7 sandwiches per day**.