### Home > CALC > Chapter 1 > Lesson 1.2.2 > Problem 1-37

1-37.

A car travels at a rate of 20

*x*+ 30 miles per hour for 0 ≤*x*≤*t*. 1-37 HW eTool (Desmos) Homework Help ✎Sketch a velocity graph and label the axes with the correct units.

Shade the area under the curve for 0 ≤

*x*≤*t*. What does this area represent?What are the units of the area? Explain how you know.

Compute the distance traveled for 0 ≤

*x*≤ 2.

The area represents distance traveled (or displacement) between *x* = 0 and *x* = *t*.

The shape is a trapezoid.

Height is horizontal, so it represents time, in hours. Evaluate the area of a trapezoid. Simplify the units.

Find A (20*x* + 30, 0 ≤ *x* ≤ 2).

Use the eTool below to set values for *t*.

Click the link at right for the full version of the eTool: Calc 1-37 HW eTool