Question
Olivia spent a week at the beach and recorded the number of shells she found each day.
Shells Olivia found
Day Number of shells
Sunday 3
Monday 1
Tuesday 7
Wednesday 5
Thursday 5
According to the table, what was the rate of change between Tuesday and Thursday?
shells per day
Shells Olivia found
Day Number of shells
Sunday 3
Monday 1
Tuesday 7
Wednesday 5
Thursday 5
According to the table, what was the rate of change between Tuesday and Thursday?
shells per day
Answers
GPT-4o mini
To find the rate of change between Tuesday and Thursday, we first determine the number of shells Olivia found on those days:
- Tuesday: 7 shells
- Thursday: 5 shells
The rate of change is calculated as the change in the number of shells divided by the change in days:
1. Calculate the change in the number of shells:
\[
\text{Change in shells} = \text{Shells on Thursday} - \text{Shells on Tuesday} = 5 - 7 = -2
\]
2. Calculate the change in days:
- From Tuesday to Thursday is 2 days.
3. Now, calculate the rate of change:
\[
\text{Rate of change} = \frac{\text{Change in shells}}{\text{Change in days}} = \frac{-2}{2} = -1
\]
Therefore, the rate of change between Tuesday and Thursday is **-1 shell per day**. This indicates a decrease of 1 shell per day from Tuesday to Thursday.
- Tuesday: 7 shells
- Thursday: 5 shells
The rate of change is calculated as the change in the number of shells divided by the change in days:
1. Calculate the change in the number of shells:
\[
\text{Change in shells} = \text{Shells on Thursday} - \text{Shells on Tuesday} = 5 - 7 = -2
\]
2. Calculate the change in days:
- From Tuesday to Thursday is 2 days.
3. Now, calculate the rate of change:
\[
\text{Rate of change} = \frac{\text{Change in shells}}{\text{Change in days}} = \frac{-2}{2} = -1
\]
Therefore, the rate of change between Tuesday and Thursday is **-1 shell per day**. This indicates a decrease of 1 shell per day from Tuesday to Thursday.