Problem

In a direct variation, $y=12$ when $x=6$. Write a direct variation equation that shou relationship between $x$ and $y$. Write your answer as an equation with y first, followed by an equals sign. Submit

Solution

Step 1 :Given: $x=6$, $y=12$

Step 2 :Using the formula $y=kx$ for direct variation

Step 3 :Substituting the given values: $12=k(6)$

Step 4 :Solving for $k$ by dividing both sides by 6: $\frac{12}{6}=k$

Step 5 :Simplifying: $2=k$

Step 6 :Therefore, the direct variation equation is $y=2x$

Step 7 :Final Answer: $\boxed{y=2x}$

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Source: https://solvelyapp.com/problems/GNV98qHztx/

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