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Find the direct variation.

if y=28 when x= 168, find y when x =108.

Sagot :

Answer:

18

Step-by-step explanation:

168 : 28 : : 108 : y

168 / 28 = 108 / y

6 = 108 / y

6 * y = 108

y = 108 / 6

y = 18

Answer:

y = 18

Step-by-step explanation:

Given y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 28 when x = 168

28 = 168k ( divide both sides by 168 )

[tex]\frac{28}{168}[/tex] = k , that is

k = [tex]\frac{1}{6}[/tex]

y = [tex]\frac{1}{6}[/tex] x ← equation of variation

When x = 108 , then

y = [tex]\frac{1}{6}[/tex] × 108 = 18

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