Nina walked 15 yards to Paul's house. They then went hiking. Which rule shows how many yards Nina walks for every yard Paul walks?

A p=n+15
B n=p+15
C p=15-n
D n=p-15

C

p=15-n

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To determine the rule that shows how many yards Nina walks for every yard Paul walks, we need to examine the given information.

We know that Nina walked 15 yards to Paul's house and that they then went hiking.

Let's consider the options:

A) p = n + 15: This equation suggests that the number of yards Paul walks (p) is equal to the number of yards Nina walks (n) plus 15. However, this equation does not reflect a relationship in which the number of yards Nina walks is dependent on the number of yards Paul walks.

B) n = p + 15: This equation suggests that the number of yards Nina walks (n) is equal to the number of yards Paul walks (p) plus 15. This equation also does not represent the given scenario of Nina walking to Paul's house and then going hiking together.

C) p = 15 - n: This equation suggests that the number of yards Paul walks (p) is equal to 15 minus the number of yards Nina walks (n). This equation reflects the scenario where Nina initially walks 15 yards to Paul's house and then goes hiking with him. This equation represents the relationship between the number of yards Nina walks and the number of yards Paul walks for every yard.

D) n = p - 15: This equation suggests that the number of yards Nina walks (n) is equal to the number of yards Paul walks (p) minus 15. This equation does not represent the given scenario.

Therefore, the correct answer is option C: p = 15 - n. This equation shows how many yards Nina walks for every yard Paul walks.