Question 8

Runner B is a faster runner because the slope of the data is 6.

The slope of the data indicates the rate at which each runner covers the distance. A smaller slope value corresponds to a faster pace, and in this case, Runner B has a slope of 6, indicating a faster running speed compared to Runner A.

A) Runner A is a faster runner because the slope of the data is 6.

This option is incorrect because it misattributes the slope value to Runner A. If Runner A had a slope of 6, it would imply a slower pace than Runner B, who has the same slope value but is correctly identified as the faster runner based on the provided answer.

B) Runner A is a faster runner because the slope of the data is 7.

This statement is also incorrect. It inaccurately claims that Runner A has a slope of 7, suggesting a slower running speed than Runner B, who is correctly associated with the slope of 6. The higher the slope value, the slower the pace, making Runner A less favorable in this comparison.

C) Runner B is a faster runner because the slope of the data is 6.

This option is correct. A slope of 6 associated with Runner B indicates that they have a faster pace than Runner A, as a smaller slope value represents a quicker time taken to cover the same distance.

D) Runner B is a faster runner because the slope of the data is 7.

This choice is incorrect as it mistakenly assigns a higher slope of 7 to Runner B. A higher slope indicates a slower pace, so this statement does not accurately reflect the data presented in the graph.

Conclusion

The correct interpretation is that Runner B is faster due to their slope of 6, which signifies a quicker time to complete the distance compared to Runner A. All other options fail because they either misattribute slope values or incorrectly assert which runner is faster. Understanding the relationship between slope and running speed is crucial in accurately interpreting the data displayed.