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Debi walks laps around the mall for exercise during the winter months. The table represents the number of steps recorded on her pedometer as she walks laps around the mall one day.

\begin{tabular}{|c|r|}
\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}

Which statement is true about the graph of the line representing Debi's data?

A. Debi walks 1,875 steps per lap around the mall.

B. One lap around the mall is equal to 2,425 steps.

C. One lap around the mall is equal to 4,300 steps.

D. Debi walks 6,175 steps per lap around the mall.



Answer :

GinnyAnswer
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.

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