Chapter 5.2, Problem 24P

Tell whether the two quantities vary directly. Explain your reasoning.

The total number of miles run and the number of miles you run per day when training for a race

To determine

The total numbers of miles run and the number of miles a person runs per day when training for a race. Explain the variation of the reasoning.

Answer to Problem 24P

First statement tells about the distance traveled without any time limit. Second one explains the distance traveled each day.

Explanation of Solution

Introduction:Distance measured is calculated with the restriction of time duration and the speed with which a person moves.

Yes, both the statements differ because in the former statement, it is mentioned that the total number of miles run but it does not specify the time duration of running. It may be a day, a week, or a month while training for a race.

But, in the latter statement, the number of miles run per day is mentioned; it is restricted with the duration of the day. But, yes they are dependent as the second tells us about the number of miles run per day while first specifies the total number of miles run for the training of the race.

Conclusion:First statement tells about the distance traveled without any time limit. Second one explains the distance traveled each day.