Question

A Girl Scout troop recorded how many boxes of cookies they sold each day for a week.
Boxes of Girl Scout cookies sold
Day Boxes of cookies
Monday 39
Tuesday 44
Wednesday 40
Thursday 27
Friday 25
According to the table, what was the rate of change between Tuesday and Friday?
Round your answer to the nearest tenth.
boxes per day

Answer 1

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

\[
\text{Rate of change} = \frac{\text{Change in boxes}}{\text{Change in time}}
\]

First, we identify the number of boxes sold on Tuesday and Friday:

- Tuesday: 44 boxes
- Friday: 25 boxes

Next, we calculate the change in boxes sold:

\[
\text{Change in boxes} = \text{Boxes on Friday} - \text{Boxes on Tuesday} = 25 - 44 = -19 \text{ boxes}
\]

Now, we find the change in time, which is the number of days from Tuesday to Friday:

- Tuesday to Friday is 3 days (Tuesday, Wednesday, Thursday, Friday).

Now we will calculate the rate of change:

\[
\text{Rate of change} = \frac{-19 \text{ boxes}}{3 \text{ days}} \approx -6.3333 \text{ boxes per day}
\]

Rounding this to the nearest tenth gives:

\[
\text{Rate of change} \approx -6.3 \text{ boxes per day}
\]

Thus, the rate of change between Tuesday and Friday is approximately **-6.3 boxes per day**.