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 4 miles per hour for 30 minutes. You rest for 10 minutes, and then you continue walking at a leisurely pace of 1 mile per hour for 25 minutes."

Question

I've completed the first part with D(t)= 1/15t if 0</t</30 but it's the next two that I'm confused on

Answer 1

for 30 < t <= 40,
D(t) = D(30) = 2

for 40 < t <= 65
D(t) = 2 + (1/60)(t-40)