The function $h(x) = a \cdot b^x$ passes through $(0, 12)$ and $(1, 36)$. What is the value of $ab$?
A$12$
B$36$
C$48$
D$3$
Answer & Solution
Correct answer: B. $36$
From $(0, 12)$: $a \cdot b^0 = a = 12$. From $(1, 36)$: $a \cdot b = 36$, so $12b = 36$, $b = 3$. Then $ab = 12 \cdot 3 = 36$.
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