For the quadratic function

MATHEMATICS · Single correct · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

f(x)=ax^{2}+3x

, determine the value of

a

so that the average rate of change of

f

on the interval

[1,4]

10

. (a)

\dfrac{7}{8}

(b)

\dfrac{8}{5}

(c)

\dfrac{7}{5}

(d)

\dfrac{41}{15}