Tony plans to run a 5,000-meter fun run at a constant rate of 250 meters per minute. He uses function f to model his distance from the finish line x minutes after the start of the race.

x f (x)

0 5,000

1 4,750

2 4,500

3 4,250

4 4,000

5 3,750

6 3,500

A.

Tony's function is always decreasing.

B.

Tony's function is always negative.

C.

Tony's function is exponential.

D.

The domain of Tony's function is [0, 5,000].

Question

Mathematics

Sophia Hess

13 January, 22:17

Tony plans to run a 5,000-meter fun run at a constant rate of 250 meters per minute. He uses function f to model his distance from the finish line x minutes after the start of the race.

x f (x)

0 5,000

1 4,750

2 4,500

3 4,250

4 4,000

5 3,750

6 3,500

A.

Tony's function is always decreasing.

B.

Tony's function is always negative.

C.

Tony's function is exponential.

D.

The domain of Tony's function is [0, 5,000].

+5

Answers (1)

Know the Answer?

Nikolas Clay · Answer 1

Option A.

Step-by-step explanation:

Based on the information provided on the question

the function used to model Tony's run is:

f (x) = - 250*x + 5000

This means that after x = 20 minutes, Tony will arrive to the finish line

f (20) = - 250 * (20) + 5000 = - 5000 + 5000 = 0

The function is always decreasing, because we are dealing with a line with negative slope.

Option A.