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 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 have 1/10t, 0</t</30
3, 30<t</40

BUT i cant find the last equation for the domain of
D(t)= __?__ if 40<t</65

Answer 1

In the first 30 minutes you have walked 3 miles. Then, after a total of 40 minutes, you start walking again. So,

D(t) = 3 + 1/60 (t-40) if 40 < t <= 65

Answer 2

@steve thank you