Question

Felicia is a long-distance runner. She is able to run the first 2 hours of a training run at a certain rate. The rate at which she runs after her first 2 hours decreases for the remainder of her training run. On Monday, Felicia runs x hours, where x≥2. The average rate at which Felicia runs for the entire training run is represented by 13+6(x−2)x. What is the meaning of the parts of this rational expression in the context of the situation? Select from the drop-down menus to correctly complete each statement.

Answer 1

total distance of Felicia's training run

first two hours x = 2....so we have

[ 13 + 6(2 - 2) ] / 2 = 13 / 2 = distance / rate = = 6.5 mph ⇒ "c"

distance covered in 4 hrs =

[13 + 6( 4 - 2) ] = 13 + 6(2) = 13 + 12 = 25 miles

But she ran 13 miles the first two hours

So....she must run 12 miles the last two hours ⇒ "c"