Question

9. As a speed skater, Kyle cycles between sprinting and recovering on the 111.12-meter short track during practice every day for 50 minutes. Let t be the time in hours that Kyle sprints during a practice. A. Write the unsimplified expression to represent the total distance Kyle skates. It may help you to make a verbal model to represent the total distance Kyle skates. Be sure to use compatible units.

Answer 1

SOLUTIONS

As a speed skater, Kyle cycles between sprinting and recovering on the 111.12 meter short track during practice every day for 50 minutes.

Let t be the time in hours that Kyle sprints during practice.

Sprint Speed: 48 km/hr

Recovery: 18 km/hr

(a)

Write an unsimplified expression to represent the total distance Kyle skates.

`speed=(distance)/(time)`

If t= time sprinting then (50-t)= time recovering

Distance = rate x time= t(48) + (50-t)18

Distance = 111.2m

(c) Simplifying the expression