Question

Which estimate best describes the area under the curve in square units?

20 units²
25 units²
35 units²
40 units²

Answer 1

The answer is 20 units².

Answer 2

Explanation:

To determine the best estimate for the area under the curve we can use the area of boxes concept. It means we can estimate it by adding the area of the boxes .

It is easier to find the area of boxes as they are forming a rectangle .

Notice that

the length of the shaded area is 4 units (from 0.5 to 4.5)

Similarly the width of the shaded area is roughly 5 units (0 to 5)

we know that the area of a rectangle is length times width .

Rectangle because the boxes are roughly forming a rectangle with l = 4 and w = 5

so area = 4·5

Area = 20 units ^2