Question

Find the area of the region bounded by the graphs of y = x, y = 4 − 3x, and x = 0.

0.375

2

4

None of these

Answer 1

2

Explanation:

The area is that of a triangle of base length 4 and height 1. The area formula gives the area as ...

A = (1/2)(4)(1) = 2

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On the graph, the "base" is the vertical distance along the y-axis. The "height" is the horizontal extent from the y-axis to the point (1, 1) where the non-vertical lines intersect.