Question

Tony is competing in a marathon. He increases his pace in the last 5,000 meters of the race. His distance from the finish line, f(x), decreases at a constant rate of 250 meters per minute, x.

Select the correct statement.

It takes Tony 20 minutes to reach the finish line.

Tony reaches a maximum distance of 3,750 meters over the interval [6, 10].

Tony's speed increases to 225 meters per minute.

Tony's initial distance from the finish line at the time he increased his pace was 4,750 meters.

Answer 1

5000/250=20

so "It takes Tony 20 minutes to reach the finish line." is correct

Answer 2

For this case, what we are going to do is write the linear function that models the problem.
We have then:
y = -250x + 5000
Where,
y: distance traveled
x: time in minutes
To reach the goal (y = 0) we have:
0 = -250x + 5000
250x = 5000
x = 5000/250
x = 20 minutes
Answer:
It takes Tony 20 minutes to reach the finish line.