To determine the correct statement about the graph of the line representing Debi's data, we need to calculate the number of steps per lap.
The table provided is:
[tex]\[
\begin{tabular}{|c|c|}
\hline
Laps & Steps \\
\hline
0 & 1,875 \\
\hline
1 & 4,300 \\
\hline
2 & 6,725 \\
\hline
3 & 9,150 \\
\hline
4 & 11,575 \\
\hline
\end{tabular}
\][/tex]
First, let's look at the change in the number of steps as Debi completes each lap:
- From 0 laps to 1 lap: [tex]\(4,300 - 1,875 = 2,425\)[/tex] steps
- From 1 lap to 2 laps: [tex]\(6,725 - 4,300 = 2,425\)[/tex] steps
- From 2 laps to 3 laps: [tex]\(9,150 - 6,725 = 2,425\)[/tex] steps
- From 3 laps to 4 laps: [tex]\(11,575 - 9,150 = 2,425\)[/tex] steps
As we can see, the difference in the number of steps is consistent at 2,425 steps per lap.
Now, let’s verify the consistency in steps per lap:
[tex]\[
2,425, 2,425, 2,425, 2,425
\][/tex]
Indeed, each calculation for the steps per lap is consistent at 2,425 steps.
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.
