Topics
6. Relations
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CanadaON
Grade 9

6.10 Reciprocal relations

Lesson
Worksheet
Practice

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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Outcomes

9.C4.1

Compare characteristics of graphs, tables of values, and equations of linear and non-linear relations.

9.C4.2

Graph relations represented as algebraic equations of the forms x = k, y = k, x + y = k, x – y = k, ax + by = k, and xy = k, and their associated inequalities, where a, b, and k are constants, to identify various characteristics and the points and/or regions defined by these equations and inequalities.

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