Answer
$12$
Work Step by Step
General formula for average rate of change from x to y: $\frac{f(y)-f(x)}{y-x}.$ Hence here: $\frac{f(1)-f(0.5)}{1-0.5}=\frac{9^1-9^{0.5}}{0.5}=\frac{9-3}{0.5}=12.$
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