To solve this problem, we need to determine how many steps Debi takes per lap around the mall. We will analyze the changes in the number of steps as she completes more laps.
Here is the table of steps and laps for reference:
[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, calculate the steps Debi took per lap. This can be done by finding the difference in the number of steps between each successive lap:
- From 0 to 1 lap: \( 4,300 - 1,875 = 2,425 \)
- From 1 to 2 laps: \( 6,725 - 4,300 = 2,425 \)
- From 2 to 3 laps: \( 9,150 - 6,725 = 2,425 \)
- From 3 to 4 laps: \( 11,575 - 9,150 = 2,425 \)
We see a consistent pattern where Debi takes 2,425 steps for each lap around the mall.
This consistency allows us to confirm that one lap around the mall is equal to 2,425 steps.
Among the given statements:
- "Debi walks 1,875 steps per lap around the mall." — This is incorrect.
- "One lap around the mall is equal to 2,425 steps." — This is the true statement.
- "One lap around the mall is equal to 4,300 steps." — This is incorrect.
- "Debi walks 6,175 steps per lap around the mall." — This is incorrect.
Therefore, the correct statement about the graph of the line representing Debi's data is:
One lap around the mall is equal to 2,425 steps.
