If f (x) varies directly with x, and f (x) = 12 when x = 8, write the direct linear variation equation.

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Mathematics

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18 June, 02:57

If f (x) varies directly with x, and f (x) = 12 when x = 8, write the direct linear variation equation.

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Caylee Wang · Answer 1

f (x) varies directly with x.

f (x) = kx (k is the constant of proportionality)

if x = 8,

12 = 8 k

k = 12/8

k = 3/2

So the equation would be:

f (x) = (3/2) x