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The function f(x) varies directly with x and f(x)=160 when x=40. What is f(x) when x=8 A)32 B)20 C) 5 D)2

Verified Answer :

Nakilicious21

The answer is (A) which is 32..
If u can f(x) =160 when x=40 and if we divide 160 by 40 we get 4..
Therefore we can say that to get the f(x) we have to multiple the value of x by 4.
. NB: as the value of x=40, f(x) is: 40×4=160
. Therefore as the value of x=8, f(x) is: 8×4=32

Answer: Value of f(x)=32 when the value of x=8

Step-by-step explanation:

Since we have given that

the function f(x) varies directly with x and f(x).

If x=40, f(x)=40

So, if x=8 then we have to find the value of f(x):

Since there is direct variation,

\(\frac{160}{40}=\frac{f(x)}{8}\\\\4=\frac{f(x)}{8}\\\\4\times 8=f(x)\\\\32=f(x)\)

So, value of f(x)=32 when the value of x=8.

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