Question

Al Unser won the Indianapolis 500-mile race in 1987. Juan Pablo Montoya won the Indianapolis 500-mile race in 2015. Unser completed his race in 3.083089 hours. Montoya completed his race in 3.099033 hours. Imagine that they drove their exact races against each other and that the race ended when the winner crossed the finish line. This question concerns the imaginary race. Recall that, in the Unser-Montoya Intro Problem, you created the following definitions: for all 0 ≤ t ≤ 3.083089 0 ≤ t ≤ 3.083089, j(t) is the number of miles Montoya has traveled t hours after the race began, and u(t) is the number of miles Unser has traveled t hours after the race began.

1) Use function notation to represent the distance that Unser traveled in the first 0.09 hours of the race.

2) Use function notation to represent the distance that Montoya traveled in the first 97 minutes of the race.

3) Use function notation to represent the number of miles that Unser traveled from 1.192 hours after the race began to 2.013 hours after the race began.

4) What must be true about the value of u(2.013−1.192)?

5) Which of the following represent(s) the number of miles Montoya traveled in a one-hour time period?

a) j(x+1)

b) j(x)−j(x−1)

c) j(x)−j(1)

d) j(x−1)

e) j(x+1)−j(x)

f) j(1)

6) Use function notation to write an expression to represent the number of miles between Unser and Montoya when Unser crossed the finish line.

7) Use function notation to represent the number of miles between Montoya and Unser t hours after the race began. Hint: make sure your expression works no matter who is ahead.

Answer 1

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