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VCE 11 General 2023

9.04 Inverse variation

Interactive practice questions

Suppose the constant of variation $k$k is positive.

a

If $y$y varies directly as $x$x, which of the following is true?

When $x$x increases, $y$y increases. When $x$x decreases, $y$y decreases.

A

When $x$x increases, $y$y decreases. When $x$x decreases, $y$y decreases.

B

When $x$x increases, $y$y increases. When $x$x decreases, $y$y increases.

C

When $x$x increases, $y$y decreases. When $x$x decreases, $y$y increases.

D
b

If $y$y varies inversely as $x$x, which of the following is true?

When $x$x increases, $y$y decreases. When $x$x decreases, $y$y increases.

A

When $x$x increases, $y$y increases. When $x$x decreases, $y$y decreases.

B

When $x$x increases, $y$y decreases. When $x$x decreases, $y$y decreases.

C

When $x$x increases, $y$y increases. When $x$x decreases, $y$y increases.

D
Easy
1min

Does the equation $y=5x$y=5x represent direct or inverse variation?

Easy
< 1min

Does the equation $y=\frac{5}{x}$y=5x represent direct or inverse variation?

Easy
< 1min

In the equation $y=\frac{18}{x}$y=18x, $y$y varies inversely as $x$x. When $x=6$x=6, $y=3$y=3.

Easy
1min
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Outcomes

U2.AoS3.1

the concepts of direct and inverse variation

U2.AoS3.4

solve problems which involve the use of direct or inverse variation

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