The average value of the function on the interval is 10

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

Problem

The average value of the function

f(x)=k x+3

on the interval

[1,5]

is 10. What is the value of

k

? (a)

\dfrac76

(b)

\dfrac73

(c)

\dfrac23

(d)

\dfrac{19}{6}