The table below gives data points for the continuous function y = f(x).

Question

ibb.co/2W0nQpC (Image link)

Approximate the area under the curve y = f(x) on the interval [0,2] using left-hand endpoints and 10 equal subdivisions. You get area =

A. 454
B. 88.8
C. 444
D. 96.8
E. 90.8

Answer 1

each rectangle has width 0.2 so the area is
(f(0) + f(0.2) + ... + f(1.8)) * 0.2
I'll let you do the addition.

Answer 2

89.8