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 5,0001 4,7502 4,5003 4,2504 4,0005 3,7506 3,500A. 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].
Accepted Solution
A:
Answer:Option A.Step-by-step explanation:Based on the information provided on the questionthe function used to model Tony's run is:f(x) = -250*x + 5000This means that after x = 20 minutes, Tony will arrive to the finish linef(20) = -250*(20) + 5000 = -5000 + 5000 = 0The function is always decreasing, because we are dealing with a line with negative slope.Option A.