the graph shows the results of a race between peter and stuart. both boys begin the race at the same time. which statements are true about the race? select each correct answer.

The statements which true about the race are: Stuart finishes the race 1 s after Peter finishes the race; and, Stuart is given a 40 yd head start and loses the race. The correct answers are option B and E.

Although part of your question is missing, you might be referring to this full question: The graph shows the results of a race between Peter and Stuart. Both boys begin the race at the same time. Which statements are true about the race? Select each correct answer.

A. Stuart runs a longer race than Peter.

B. Stuart finishes the race 1 s after Peter finishes the race.

C. Stuart runs the race at a faster rate than Peter.

D. Peter is given a 40 yd head start and wins the race.

E. Stuart is given a 40 yd head start and loses the race.

F. Peter runs the race at an approximate rate of 4.6 yd/s.

As can be seen on the Graph attached:

Stuart completed 60 yards in 13 secs; and
Peter completed 100 yards in 12 secs.

So, the justification for each statement:

A. Stuart runs a longer race than Peter.

This statement is false, because Peter runs a longer race than Stuart. Peter > Stuart = 100 > 60.

B. Stuart finishes the race 1 s after Peter finishes the race

This statement is true, because Stuart finished the race in 13 secs and Peter finished the race in 12 secs. Peter – Stuart = 13 – 12 = 1. Thus, Stuart finishes the race 1 s after Peter finishes the race.

C. Stuart runs the race at a faster rate than Peter.

This statement is false, because Stuart’s speed = 60 / 13 = 4.62 yard/sec, while Peter’s speed = 100 / 12 = 8.33 yard/sec. Thus, Peter runs the race at a faster rate than Stuart.

D. Peter is given a 40 yd head start and wins the race.

This statement is false, because Peter wins the race but Peter is not given a 40 yd head start.

E. Stuart is given a 40 yd head start and loses the race.

This statement is true, because Stuart loses the race and Stuart is given a 40 yd head start.

F. Peter runs the race at an approximate rate of 4.6 yd/s.

This statement is false, because Stuart runs the race at an approximate rate of 4.6 yd/s, while Peter runs the race at an approximate rate of 8.3 yd/s.

Learn more about racing rate at: https://brainly.com/question/29503025

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