Direct Variation (VCE SSCE General Mathematics): Quizzes

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Direct Variation
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What does it mean when yy varies directly as xx?

y=kxy = kx where kk is a positive constant

What does the symbol \propto mean?

Is proportional to or varies as

What is the graph of yy against xx when yxy \propto x?

Straight line through the origin

If y=kxy = kx, how do you find the constant of variation kk?

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

If distance dd varies as the square of time tt, how is this written?

dt2d \propto t^2

If yx2y \propto x^2, what graph gives a straight line through the origin?

yy against x2x^2

If yxy \propto x and y=21y = 21 when x=3x = 3, what is kk?

77

If y=3x2y = 3x^2 and x=4x = 4, what is yy?

4848

In direct variation, what happens to yy as xx increases?

yy also increases

In the equation d=100td = 100t, what is the constant of variation?

100100

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