Gilbert is training for a bike race. As part of his training, he does practice rides on portions of the actual race course. Gilbert’s first practice ride covers 5 miles of the course, and his second practice ride covers 9 miles of the course. Between these practice rides, he increases his average speed by 2 miles/hour.


These functions model the time it took Gilbert to do each practice ride, where x is his speed during the first practice ride.


Practice Ride 1 Practice Ride 2


a(x) = 5/x b(x) = 9/ x+2


The denominator of the function that models practice ride 2 represents the _______
.


To find a function that models the total amount of time Gilbert spent doing practice rides on the race course, _____

the functions