Question

Create a piecewise function of the following scenario where D(t) is the total distance walked (in miles) as a function of time t (in minutes): “You begin a walk from your home at a fast pace of 6 miles per hour for 25 minutes. You rest for 15 minutes, and then you continue walking at a leisurely pace of 1 mile per hour for 25 minutes."

I have 1/10t, 0<t<25
2.5, 25<t<40
and need to find the last equation for the domain of 40<t<65

Answer 1

well, you correctly determined that 6 mi/hr is 1/10 mi/min, so

1 mi/hr is the same as 1/60 mi/min, right?

y = 2.5 + 1/60 t for 40<t<65.

Actually, some of those inequalities should be <= just to make D(t) continuous.