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MInecraftfan1000
MInecraftfan1000 MInecraftfan1000
  • 19-05-2015
  • Mathematics
Answered

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

Verified Answer :

geerky42
geerky42 geerky42
  • 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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