Caden exercises daily by walking on a treadmill. He sets the machine so that he will walk at a steady rate of 3.6 miles per hour.

If t represents time in hours and d represents distance in miles, write an equation that models the relationship between these variables.
Use your equation to calculate the distance Caden will walk in
3
4
of an hour.
Use your equation to calculate how long it will take for Caden to walk 4.32 miles.

1 answer

The equation that models the relationship between time and distance is d = rt, where d is the distance, r is the rate, and t is the time. In this case, r = 3.6 miles per hour, so the equation is:

d = 3.6t

To find the distance Caden will walk in 3/4 of an hour, plug 3/4 into the equation for t:

d = 3.6(3/4)
d = 2.7 miles

To find how long it will take Caden to walk 4.32 miles, plug 4.32 into the equation for d and solve for t:

4.32 = 3.6t
t = 4.32 / 3.6
t ≈ 1.2 hours