If f(x) varies directly with x, and f(x) = 18 when x = 2, find the value of f(x) when x = 6.

A.
6

B.
18

C.
36

D.
54

Question

19-05-2015
Mathematics

Answered

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If f(x) varies directly with x, and f(x) = 18 when x = 2, find the value of f(x) when x = 6.

A.
6

B.
18

C.
36

D.
54

Sagot :

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Geerky42idn Geerky42idn · Answer 1 · 2015-05-19T12:05:56-04:00

Geerky42idn Geerky42idn

19-05-2015

If f(x) varies directly with x, that mean there exists some unknown number k such that f(x) = kx.

So we were given that f(x) = 18 when x = 2. So plugging in these values will help you find the value of k.

18 = 2k

k = 9

So we know that k=9, therefore f(x) = 9x.

Now, at x=6, you have f(6) = 9·6 = 54

Therefore answer is D.

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