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Questions 7-10:

Refer to the table below to answer the following questions about how a group of students walked during a month of school:

[tex]\[
\begin{array}{l|c|c|c}
\text{Student Name} & \text{Number of Steps} & \text{Step Distance} & \text{Total Distance} \\
\hline
\text{Suzie Q.} & 134 & 0.5\,m & 67.0\,m \\
\text{Jim D.} & 121 & 0.8\,m & 96.8\,m \\
\text{Frank L.} & 218 & 0.6\,m & 130.8\,m \\
\text{Sally B.} & 243 & 0.4\,m & 97.2\,m \\
\hline
\multicolumn{3}{c}{\text{GROUP TOTAL:}} & 391.8\,m \\
\end{array}
\][/tex]

Which of the following students has the greatest step distance?

A. Sally B.
B. Suzie Q.
C. Frank L.
D. Jim D.



Answer :

GinnyAnswer
To determine which student has the greatest step distance, we need to examine the total distance each student walked and the number of steps they took to walk that distance. This information is given in the problem. Here's a step-by-step solution:

1. Suzie Q.:
- Number of steps: 134
- Total distance: 67.0 meters
- Step distance calculation:
[tex]\[ \text{Step distance} = \frac{\text{Total distance}}{\text{Number of steps}} = \frac{67.0 \text{ m}}{134 \text{ steps}} = 0.5 \text{ m/step} \][/tex]

2. Jim D.:
- Number of steps: 121
- Total distance: 96.8 meters
- Step distance calculation:
[tex]\[ \text{Step distance} = \frac{\text{Total distance}}{\text{Number of steps}} = \frac{96.8 \text{ m}}{121 \text{ steps}} = 0.8 \text{ m/step} \][/tex]

3. Frank L.:
- Number of steps: 218
- Total distance: 130.8 meters
- Step distance calculation:
[tex]\[ \text{Step distance} = \frac{\text{Total distance}}{\text{Number of steps}} = \frac{130.8 \text{ m}}{218 \text{ steps}} = 0.6 \text{ m/step} \][/tex]

4. Sally B.:
- Number of steps: 243
- Total distance: 97.2 meters
- Step distance calculation:
[tex]\[ \text{Step distance} = \frac{\text{Total distance}}{\text{Number of steps}} = \frac{97.2 \text{ m}}{243 \text{ steps}} = 0.4 \text{ m/step} \][/tex]

After calculating, we find the following step distances:
- Suzie Q.: 0.5 meters per step
- Jim D.: 0.8 meters per step
- Frank L.: 0.6 meters per step
- Sally B.: 0.4 meters per step

Comparing the step distances, we see that Jim D. has the greatest step distance of 0.8 meters per step.

Therefore, the correct answer is:
D. Jim D.

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