Direct Variation Models (HSC SSCE Mathematics Advanced): Quizzes

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Direct Variation Models
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In a direct variation, what happens when one quantity increases?

The other increases proportionally

In the formula y=kxny = kx^n, what constraint must kk satisfy?

k≠0k \neq 0

What is a key characteristic of all direct variation graphs?

They pass through the origin (0,0)(0, 0)

What is the form of direct linear variation?

y=kxy = kx

If area of a circle varies directly with square of radius, what is nn?

n=2n = 2

Volume of a sphere varies with cube of radius. What power is this?

Cubic variation (n=3n = 3)

If C=kTC = kT and C=150C = 150 when T=3T = 3, what is kk?

k=50k = 50

In formula y=kxny = kx^n, what must be true about nn?

n>0n > 0

If C=50TC = 50T, what is CC when T=7T = 7?

C=350C = 350

What type of variation represents a constant rate of change?

Linear variation (n=1n = 1)

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