Let's analyze the data provided in the table to determine which statement is true about the number of steps per lap Debi walks around the mall.
The table given is:
[tex]\[
\begin{array}{|c|r|}
\hline
\text{Laps} & \text{Steps} \\
\hline
0 & 1,875 \\
\hline
1 & 4,300 \\
\hline
2 & 6,725 \\
\hline
3 & 9,150 \\
\hline
4 & 11,575 \\
\hline
\end{array}
\][/tex]
To find out the number of steps per lap, we need to calculate the difference in steps between successive laps.
1. Calculating the steps for each lap:
- Steps from 0 to 1 lap:
[tex]\[
4,300 - 1,875 = 2,425 \text{ steps}
\][/tex]
- Steps from 1 to 2 laps:
[tex]\[
6,725 - 4,300 = 2,425 \text{ steps}
\][/tex]
- Steps from 2 to 3 laps:
[tex]\[
9,150 - 6,725 = 2,425 \text{ steps}
\][/tex]
- Steps from 3 to 4 laps:
[tex]\[
11,575 - 9,150 = 2,425 \text{ steps}
\][/tex]
2. Examining the calculated steps per lap:
- We observe that the steps per lap calculated are consistent: \(2,425 \text{ steps}\).
3. Conclusion:
Based on this analysis, the number of steps Debi walks per lap around the mall is consistently 2,425 steps.
Therefore, the correct statement is:
- One lap around the mall is equal to 2,425 steps.
