Water leaks from a tank at the rate of r(t) gallons per hour. The rate decreased as time passed, and values of the rate at two-hour time intervals are shown in the table below. The total amount of water that leaked out is evaluated by a Riemann sum. Find the upper estimate (left end-points of each rectangle) for the total amount of water that leaked out by using five rectangles.

Question

Give your answer with one decimal place.

t(hr) 0- 2- 4- 6- 8- 10
r(t) (gal/hr) 12.0- 10.6- 8.8- 8.0- 6.0- 4.8

Answer 1

area total:
2*12 + 2*10.6+2*8.8+2*8.0+2*6.0