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Direct Variation Quiz

1. If y varies directly as x, and y=35 when x=140, what is x when y=28?
I

1 Answer

3 votes

Answer:

x = 112

Explanation:

Given that 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 = 35 when x = 140, then

35 = 140k ( divide both sides by 140 )

0.25 = k

y = 0.25x ← equation of variation

When y = 28, then

28 = 0.25x ( divide both sides by 0.25 )

x = 112

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