Question

if x and y vary directly with each other and x=32 what is y when constant of variation is 8​

Answer 1

$\underline {\blue{ Direct \: variation : }}$

If x and y are any two quantities such that both of them increase or decrease together and $\frac{x}{y}$ remains constant (say k ) , then we say that x and y are in direct proportion.

$Therefore .,\\ \frac{x}{y} = k \: ( k \:is \:a \:constant )$

$Here, \\x = 32 , \: k = 8 , \red {y = ? }$

$\implies \frac{32}{y} = 8$

$\implies \frac{32}{8} = y$

$\implies 4 = y$

Therefore.,

$\red { Value \: of \: y } \green { = 4 }$

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Answer 2

:-

Since,x and y vary directly

so,it is a direct variation.

Here,x=32

constant of variation =8

y=?

x/y= k, where k =constant

32/y = 8

y = 32/8

y = 4