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Mekhanik [1.2K]
3 years ago
11

If y varies directly with x and y = 16 when x = 4, find x when y = 8.

Mathematics
2 answers:
VladimirAG [237]3 years ago
7 0

Answer: X = 2

Step-by-step explanation:

Y & X

Y = KX

K = Y/X = 16/4 = 4

Y= 8

K =4

X=?

X = Y/K

X = 8/4 = 2

Luba_88 [7]3 years ago
5 0

Step-by-step explanation:

Given:  \\ y \:  \alpha  \: x \\  \therefore \: y = kx..(k = constant)..(1) \\  \\ let \: us \: substitute \: x = 4 \: and \: y = 16 \:  \\  in \: equation \: (1)\\  \\ 16 = 4k \:  \\  \implies \: k =  \frac{16}{4}   \\  \implies \: k =  4 \\ substituting \: k = 4 \: in \: equation \:  \\ (1) \: we \: find :  \\ y = 4x....(2) \\ now \: we \: need \: to \: find \: x \: when \: y = 8 \\   \therefore \: 8 = 4x \\  \implies \: x =  \frac{8}{4}  \\   \huge \orange{ \boxed{\implies \: x =  2}}

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