Answer
$9$
Work Step by Step
General formula for average rate of change from $a$ to $b$: $\frac{f(b)-f(a)}{b-a}.$
Hence here: $\frac{f(2)-f(0.5)}{2-0.5}=\frac{(9\cdot2)-(9\cdot0.5)}{1.5}=\frac{18-4.5}{1.5}=\frac{13.5}{1.5}=9.$
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