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Sagot :
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.
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.
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