A continuous function satisfies

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

A continuous function

g

satisfies

\displaystyle \int_{1}^{k} g(x)\,dx = 18

. The average value of

g

[1,k]

m

. Which of the following equations must

k

satisfy? (a)

\dfrac{m}{k-1} = 18

(b)

(k-1)m = 18

(c)

k\,m = 18

(d)

k-1 = 18m