x and y are in direct proportion . If x = 20, then y = 25 . If x = 32, then y = what​

x and y are in direct proportion . If x = 20, then y = 25 . If x = 32, then y = what​

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  1. Step-by-step explanation:

    x and y are in direct proportion.

    [tex]x = k \times y \: \: \: \: \: \: \: (where \: \: k \: \: \: is \: a \: \: variation \: \: constant)[/tex]

    If, x = 20 and y=25 then,

    [tex]20 = k \times 25[/tex]

    [tex]k = \frac{20}{25} [/tex]

    [tex]k = \frac{4}{5} [/tex]

    If, x=32 and k = 4/5 ,then

    [tex]x = k \times y[/tex]

    [tex]32 = \frac{4}{5} \times y[/tex]

    [tex]32 \times \frac{5}{4} = y[/tex]

    [tex] 8 \times 5 = y[/tex]

    [tex]y = 40[/tex]

    The value of y is 40.

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