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 Trapezoidal sum with 5 subintervals, estimate the total amount of water consumed in that time interval.

x 0 2 5 7 11 12
f(x) 5.75 .02 .01 .20 .60 .4

a. 28.5
b. 35.76 <---Incorrect
c. 56.88
d. None of these
b.
c.
d.

Answer 1

gee - thanks for marking an incorrect answer!
They gave you the various ∆x values and the f(x) values.
The area is
5
∑ ∆x_{_k} (f(x_{_k})+f(_{_k+1}))/2
k=0
What sum did you evaluate?

Answer 2

28.5