Question

Create a piecewise function of the following scenario where Upper D left-parenthesis t right-parenthesis 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 30 minutes.

Answer 1

why all the words? Just say D(t).

I'll do the first piece. See what you can do with the rest.

Starting from t=0, having gone 0 miles so far,
D(t) = 0 + 4/60 (t-0) for 0 <= t <= 30
= 1/15 t

That may seem cumbersome, but therein lie hints for the other parts.

Answer 2

where did you get the 4 over 60

Answer 3

t is in minutes, and D is in miles.
Since the speed is given in mi/hr, you have to divide that by 60 to get mi/min

Answer 4

Thank You Steve I finally understand