A triathlon athlete swims at an average rate 2.4 miles per hour, and bikes at an average rate of 16.1 miles per hour. At the end of one training session, she has swum and biked more than 20 miles in
total.
The inequality 2.4s + 16.16 > 20and this graph represent the relationship between the hours of
swimming, s, the hours of biking, b, and the total distance the athlete could have traveled in miles.
hours of biking
N
8
10
2 4 6 8
hours of swimming
Mai said, "I'm not sure the graph is right. For example, the point (10,3) is in the shaded region, but
it's not realistic for an athlete to swim for 10 hours and bike for 3 hours in a training session! I think
triathlon athletes generally train for no more than 2 hours a day."