Question

A triathlon athlete swims at an average rate of 2.4 miles per hour and bikes at an average rate of 16.1 miles per hour. Write an inequality for the time constraints (using the hours of swimming s and the hours of biking h as your variables) to represent the statement, "I think triathlon athletes generally train for no more than 2 hours a day."

a) 2.4s + 16.1h ≤ 2
b) 2.4s + 16.1h ≥ 2
c) 2.4s + 16.1h = 2
d) 2.4s + 16.1h > 2

Answer 1

The correct inequality for the triathlon athletes' training time, considering their average swimming and biking rates, is 2.4s + 16.1h ≤ 2.

Step-by-step explanation:

The inequality that represents the statement "I think triathlon athletes generally train for no more than 2 hours a day" using the hours of swimming s and the hours of biking h as your variables is 2.4s + 16.1h ≤ 2. This inequality shows that the sum of the time spent swimming (multiplied by the average swimming rate) and biking (multiplied by the average biking rate) should be less than or equal to 2 hours (which is the maximum training time per day according to the statement).