Question
Sue spent a week at the beach and recorded the number of shells she found each day.
Shells Sue found
Day Number of shells
Monday 6
Tuesday 9
Wednesday 2
Thursday 7
Friday 4
According to the table, what was the rate of change between Tuesday and Thursday?
shells per day
Shells Sue found
Day Number of shells
Monday 6
Tuesday 9
Wednesday 2
Thursday 7
Friday 4
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 in the number of shells Sue found between Tuesday and Thursday, we can use the formula:
\[
\text{Rate of Change} = \frac{\text{Change in Quantity}}{\text{Change in Time}}
\]
First, we need to find the number of shells found on Tuesday and Thursday:
- Tuesday: 9 shells
- Thursday: 7 shells
Now, calculate the change in quantity:
\[
\text{Change in Quantity} = \text{Shells on Thursday} - \text{Shells on Tuesday} = 7 - 9 = -2 \text{ shells}
\]
Next, calculate the change in time. From Tuesday to Thursday, there are 2 days (Wednesday and Thursday).
\[
\text{Change in Time} = 2 \text{ days}
\]
Now we can calculate the rate of change:
\[
\text{Rate of Change} = \frac{-2 \text{ shells}}{2 \text{ days}} = -1 \text{ shell per day}
\]
Thus, the rate of change between Tuesday and Thursday is \(-1\) shell per day. This means that, on average, Sue found 1 less shell per day from Tuesday to Thursday.
\[
\text{Rate of Change} = \frac{\text{Change in Quantity}}{\text{Change in Time}}
\]
First, we need to find the number of shells found on Tuesday and Thursday:
- Tuesday: 9 shells
- Thursday: 7 shells
Now, calculate the change in quantity:
\[
\text{Change in Quantity} = \text{Shells on Thursday} - \text{Shells on Tuesday} = 7 - 9 = -2 \text{ shells}
\]
Next, calculate the change in time. From Tuesday to Thursday, there are 2 days (Wednesday and Thursday).
\[
\text{Change in Time} = 2 \text{ days}
\]
Now we can calculate the rate of change:
\[
\text{Rate of Change} = \frac{-2 \text{ shells}}{2 \text{ days}} = -1 \text{ shell per day}
\]
Thus, the rate of change between Tuesday and Thursday is \(-1\) shell per day. This means that, on average, Sue found 1 less shell per day from Tuesday to Thursday.