1.3.1 Finding a Relationship between 𝒙 and 𝒚

Algebra 11.3.1 Finding a Relationship between 𝒙 and 𝒚

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Warm Up

Here is a table of values. The two quantities, $x$ and $y$ , are related.

$1$	$0$
$3$	$8$
$5$	$24$
$7$	$48$

What are some strategies you could use to find a relationship between $x$ and $y$ ? Brainstorm as many ways as possible.

Your answer may vary, but here are some samples:

See if there is an operation that could be done to $x$ that would produce $y$ .
Compare how the $x$ -values change and the $y$ -values change, and see if there is a pattern.
See if the numbers in one column follow a special pattern and if that pattern could be connected to the numbers in the other column.
Plot the $x$ - and $y$ -values on a coordinate plane and see if the graph looks like a familiar relationship.

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