Direct Variation (HSC SSCE Mathematics Standard): Quizzes

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Direct Variation
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What happens to both quantities in a direct variation relationship?

They change in the same direction

What type of line does a direct variation graph always create?

A straight line through the origin

What does the constant of variation kk represent?

The rate at which quantities change

Which formula represents direct variation?

y=kxy = kx

Which rearrangement correctly solves for kk in direct variation?

k=yxk = \frac{y}{x}

If y=35y = 35 when x=7x = 7, what is kk?

k=5k = 5

If C=14sC = 14s and s=60s = 60, what is CC?

C=840C = 840

In the wage example, if hours worked double, what happens to wages?

Wages also double

Why do direct variation graphs pass through the origin?

When one quantity is zero, the other is zero

What is the first step in solving direct variation problems?

Write an equation relating the variables

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