Find the linear equation that gives the rule for the table and write your answer as an equation with y first, followed by an equals sign.
Understand the Problem
The question asks us to find the linear equation that represents the relationship between x and y as shown in the table. We need to determine the rule and express it in the form y = ...
Answer
$y = 2x$
Answer for screen readers
$y = 2x$
Steps to Solve
- Identify the relationship between $x$ and $y$
Look at the table and find the relationship between each $x$ value and its corresponding $y$ value. We see: $3 \rightarrow 6$ $15 \rightarrow 30$ $27 \rightarrow 54$ $39 \rightarrow 78$
- Determine the multiplicative factor
Notice that each $y$ value is twice its corresponding $x$ value. This means that $y = 2x$.
- Write the equation in the requested format
The question asks for an equation with $y$ first, followed by an equals sign. So the equation is $y = 2x$.
$y = 2x$
More Information
The relationship between $x$ and $y$ is a direct proportion. The constant of proportionality is 2.
Tips
A common mistake is to miscalculate the relationship between x and y. For example, one might think that a constant number is added to $x$ to obtain $y$, instead of $y$ being a multiple of $x$.
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