Question

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].

Answer 1

Option A.

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.