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 3 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 30 minutes."

For the first two piecewise functions I got: D(t)= 0.05t 0≤x≤25 & D(t)= 1.25 25<x≤40. I believed the answer for the third piecewise function to be D(t)=0.01666667t+1.25, but the answer will not be accepted by WileyPLUS.

Answer 1

your functions are correct. You need to find out what syntax the software expects.

Maybe you could try using fractions:

D(t) =
t/20 0<=t<=25
5/4 25<t<=40
5/4 + t/60 40<t<=70

or maybe the x's confused it.