CPM Homework Help : PC Problem 4-117

The Gladiator van travels $20t + 18$ miles per hour for $0 ≤ t ≤ 3$ hours

Draw a graph of the situation. Label the axes carefully.
Compute the exact area under the curve.
How far did the Gladiator travel during those three hours?

Answer (a):

Hint (b):

Break it up into a rectangle and triangle adding up the areas.
Or use the formula for the area of a trapezoid.

Hint (c):

It is the area under the curve.

First quadrant, x axis labeled time, hours, scaled from 0 to 3, y axis labeled speed, mph, scaled form 0 to 60, line starting at the point (0, comma 18), passing through the point (2, comma 58).