Values of a continuous function s are given in the table.
x
0
2
4
s(x)
3
2
0
Assume s is decreasing and concave down on [0,4]. Let t(x)=−0.5x+4 on the same interval. Using the trapezoidal rule with subintervals [0,2] and [2,4] to approximate ∫04s(x)dx, which statement accurately compares the average values of s and t on [0,4]?
a) The average values of s and t are equal.
b) The average value of s is greater than the average value of t.
c) The average value of s is less than the average value of t.
d) The relationship between the averages cannot be determined from the given data.