Question

A student is running a 5-kilometer race. he runs 1 kilometer every 3 minutes. select the function that describes his distance from the finish line after x minutes. (1 point) f(x) = −1 over 3x 5 f(x) = −1 over 5x 3 f(x) = 1 over 5x 5 f(x) = 1 over 3x 3

Answer 1

The correct function for the student's distance from the finish line after x minutes in a 5-kilometer race, where they run 1 kilometer every 3 minutes, is f(x) = 5 - (1/3)x.

Step-by-step explanation:

The question asks you to select the function that describes a student's distance from the finish line after x minutes in a 5-kilometer race, where the student runs 1 kilometer every 3 minutes. The situation can be described with a linear equation, where the slope represents the rate of travel.

Since the student runs at a rate of 1 kilometer every 3 minutes, the slope is -1/3, representing that for each 3 minutes that pass, the student is 1 kilometer closer to the finish line. The initial distance from the finish line is 5 kilometers, hence the equation should reflect that the student starts 5 kilometers away from the finish and approaches 0 kilometers as time increases. Therefore, the correct function is f(x) = 5 - \(\frac{1}{3}\)x.