Which equation gives the rule for this table?
Understand the Problem
The question asks us to determine which equation accurately represents the relationship between 'x' and 'y' as shown in the provided table. We need to test each equation with the 'x' values to see if we can find a matching 'y' value.
Answer
$y = 17x$
Answer for screen readers
$y = 17x$
Steps to Solve
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Test the first equation with x=1 Substitute $x = 1$ into $y = 17x$ to check if we get $y = 17$. $y = 17 * 1 = 17$. This matches the table.
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Test the first equation with x=2 Substitute $x = 2$ into $y = 17x$ to check if we get $y = 34$. $y = 17 * 2 = 34$. This matches the table.
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Test the first equation with x=3 Substitute $x = 3$ into $y = 17x$ to check if we get $y = 51$. $y = 17 * 3 = 51$. This matches the table.
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Conclusion Since the equation $y = 17x$ satisfies all pairs of $x$ and $y$ values from the table, it is the correct one.
$y = 17x$
More Information
The relationship between $x$ and $y$ is a direct variation, where $y$ is directly proportional to $x$. The constant of proportionality is 17.
Tips
A common mistake is to not test all the $x$ values with the equation. It's essential to verify the equation with all given pairs to ensure it works consistently.
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