Answer
$\dfrac{3}{2}$
Work Step by Step
Average rate of change is: $ \dfrac{f(x_2)-f(x_1)}{x_2-x_1}$
So, $ \dfrac{f(x_2)-f(x_1)}{x_2-x_1}= \dfrac{[-(1.5)^2+(4)(1.5)-3]-[-(1)^2+(4)(1)-3]}{1.5-1}$
or, $=\dfrac{\dfrac{3}{4}-0}{1.5-1}$
or, $=\dfrac{3}{2}$
