To determine which statement is true about the graph of the line that represents Debi's data, let's analyze the information given:
We have a table that shows the number of laps Debi walks around the mall and the corresponding steps recorded on her pedometer.
[tex]\[
\begin{array}{|c|c|}
\hline
\text{Laps} & \text{Steps} \\
\hline
0 & 1,875 \\
\hline
1 & 4,300 \\
\hline
2 & 6,725 \\
\hline
3 & 9,150 \\
\hline
4 & 11,575 \\
\hline
\end{array}
\][/tex]
First, we need to find the number of steps per lap. To do this, we look at the difference in steps between multiple laps.
Let's calculate the total number of steps required to walk from 0 laps to 4 laps:
[tex]\[
\text{Total Steps} = \text{Steps at 4 laps} - \text{Steps at 0 laps} = 11,575 - 1,875 = 9,700
\][/tex]
Next, we calculate the number of laps walked:
[tex]\[
\text{Laps walked} = 4 - 0 = 4
\][/tex]
Now, we can find the number of steps per lap by dividing the total steps by the number of laps walked:
[tex]\[
\text{Steps per lap} = \frac{\text{Total Steps}}{\text{Laps walked}} = \frac{9,700}{4} = 2,425
\][/tex]
So, one lap around the mall is equal to 2,425 steps.
Given the statements:
1. Debi walks 1,875 steps per lap around the mall.
2. One lap around the mall is equal to 2,425 steps.
3. One lap around the mall is equal to 4,300 steps.
4. Debi walks 6,175 steps per lap around the mall.
The correct statement is:
- One lap around the mall is equal to 2,425 steps.
