Time (months)| 0 | 1 | 2 | 3 | 4 | 5 |

Rate pollutants are escaping (tons/month)| 4 | 6 | 10 | 13 | 17 | 32 |

1) Draw rectangles on this graph to help you underestimate the total pollutants that escaped during the whole time. What underestimate did you obtain?

2) Draw rectangles on this graph to help you overestimate the total pollutants that escaped during the whole time. What overestimate did you obtain?

1 answer

since the slope of the graph is generally increasing, left-endpoints will underestimate
So, for the first 5 points, draw a rectangle to the right at those points.
4+6+10+13+17 = ____

and of course, for the last 5 points, draw rectangles to the left to overestimate
6+10+13+17+32 = ____
also, I suspect that 32 should really be 22, since it fits better with the other values.