QuestionVideo the rule for this table. \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 3 & 0 \\ \hline 4 & 1 \\ \hline 5 & 2 \\ \hline 6 & 3 \\ \hline \end{tabular}
唁, Write your answer as an equation with y first, followed by an equals sign. $\square$ Submit

Studdy Solution

STEP 1

1. The problem provides a table of values for $x$ and $y$ .
2. We need to find a rule or equation that describes the relationship between $x$ and $y$ .
3. The relationship appears to be linear based on the given values.

STEP 2

1. Identify the pattern or relationship between $x$ and $y$ .
2. Formulate the equation based on the identified pattern.

STEP 3

Observe the changes in $y$ as $x$ increases.
- When $x = 3$ , $y = 0$ . - When $x = 4$ , $y = 1$ . - When $x = 5$ , $y = 2$ . - When $x = 6$ , $y = 3$ .
Notice that as $x$ increases by 1, $y$ also increases by 1. This suggests a linear relationship where $y$ is directly related to $x$ .

STEP 4

Determine the equation that represents the relationship.
Since $y$ increases by 1 as $x$ increases by 1, and starts at 0 when $x = 3$ , we can express $y$ as:
$y = x - 3$
This equation satisfies all the given pairs in the table.
The equation describing the rule for the table is:
$\boxed{y = x - 3}$

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