The table of values below shows the rate of water consumption in gallons per hour at selected time intervals from t = 0 to t = 12. Using a right Riemann sum with 5 subintervals...

Question

The table of values below shows the rate of water consumption in gallons per hour at selected time intervals from t = 0 to t = 12.

Using a right Riemann sum with 5 subintervals estimate the total amount of water consumed in that time interval.



f(x)	5.7	5.0	2.0	1.2	0.6	0.4

x 0 2 5 7 11 12

A	2.742
B	21.2
C	32.9
D	None of these

Answer 1

R₅ = 5.0·2 + 2.0·3 + 1.2·2 + 0.6·4 + 0.4·1 = 21.2.

Answer is B: R₅ = 21.2