Answer
A) 10.417, 9.145
B) Increasing number of rectangles
Work Step by Step
To find area under the graph, you must add the area of each rectangle.
1. Find the height of each rectangle by substituting in for x, and base is only 1, so height=area.
$\frac{5}{1}$+$\frac{5}{2}$+$\frac{5}{3}$+$\frac{5}{4}$$\approx$10.417
2.Do the same for other graph, but multiply sum by 1/2 because width is 1/2
$\frac{1}{2}$($\frac{5}{1}$+$\frac{5}{1.5}$+$\frac{5}{2}$+$\frac{2.5}{3}$+$\frac{5}{3,5}$+$\frac{5}{4}$+$\frac{5}{4.5}$)$\approx$ 9.145
