BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 2.3, Problem 49E
To determine

The details about the graph, who won the race, did each runner finish, and what happened to runner B.

Expert Solution

Explanation of Solution

A graph related to hurdle race is given.

Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.3, Problem 49E

Figure (1)

The graph shows the distance run of 100 meter as function of time.

The horizontal axis shows the time taken and vertical axis shows the distance.

From Figure (1), it is noticed that all three runners took different amount of time to finish 100 meter race.

The curve depicting the time taken by the Runner A ends way before 20 seconds mark.

The curve depicting the time taken by the Runner B ends after the curve of Runner A.

This clearly shows that the Runner A took less time than Runner B. Both runners took less than 20 seconds to finish the race.

The curve depicting the time taken by Runner C ends after the 20 seconds mark. This indicates that Runner C took more than 20 seconds to finish the race.

Out of all three runners, Runner A took least amount of time. He won the race.

From Figure (1), it is clear that all three curves depicting the time taken by runners end at 100 meter point on vertical axis. It means all three runners finished the race.

The curve related to runner B is flat for some time. This infers that either the runner B stopped running for some time or he fell. But he eventually continued running and finished at second position after Runner A.

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