Question

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complete the table for the given rule.

rule: \\(y\\) is 3 less than \\(x\\)

\\(\

$$\begin{array}{c|c} x & y \\\\ \\hline 10 & \\\\ 8 & \\\\ 6 & \\end{array}$$

\\)

Explanation:

Translate rule to equation

The rule states "\(y\) is \(3\) less than \(x\)".
This translates to the algebraic equation:

$$y = x - 3$$

Calculate y for x = 10

Substitute \(x = 10\) into the equation:

$$y = 10 - 3 = 7$$

Calculate y for x = 8

Substitute \(x = 8\) into the equation:

$$y = 8 - 3 = 5$$

Calculate y for x = 6

Substitute \(x = 6\) into the equation:

$$y = 6 - 3 = 3$$

Answer:

\(x\)	\(y\)
8	5
6	3