Question

If f(x) varies directly with x2, and f(x) = 72 when x = 6, find the value of f(3)
MEDAL

Answer 1

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Answer 2

Varies directly just means proportional.\[
f(x)=kx^2
\]

Answer 3

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Answer 4

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Answer 5

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Answer 8

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Answer 10

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Answer 11

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Answer 12

They gave us \(f(6)=72\), which means \[
72=k(6)^2
\]Allowing us to find \(k\).

Answer 13

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Answer 14

Or, we could have just used: \[
\frac{f(3)}{72}=\frac{f(3)}{f(6)} = \frac{(3)^2}{(6)^2}
\]