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Standard Level

2.04 Hyperbolas and inverse variation

Interactive practice questions

If $y$y varies inversely with $x$x we write the equation:

$y=x^k$y=xk

A

$y=x+k$y=x+k

B

$y=kx$y=kx

C

$y=\frac{k}{x}$y=kx

D
Easy
< 1min

Is the variation relating the distance between two locations on a map and the actual distance between the two locations an example of a direct variation or an inverse variation?

Easy
< 1min

Is the variation relating the number of workers hired to build a house and the time required to build the house an example of a direct variation or an inverse variation?

Easy
< 1min

For the following relationship, write an equation that uses $k$k as the constant of variation.

Easy
< 1min
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