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Which equation has a constant of proportionality equal to 3?A. y=8/5 * xB. y=1/5 * xC. y= 1/4 * xD. y=18/6 * x

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ANSWER:

D. y = 18/6 x

Explanation:

We know that the constant of proportionality would be the coefficient that accompanies x. Therefore:

We simplify in each case, in order to determine which of all the options is equal to 3, just like this:


\begin{gathered} y=(8)/(5)\text{ (can't be simplified further)} \\ y=(1)/(5)\text{ (can't be simplified further)} \\ y=(1)/(4)\text{ (can't be simplified further)} \\ y=(18)/(6)=(6\cdot3)/(6)=3 \end{gathered}

Therefore, the equation that has a constant of proportionality is option D. y = 18/6 x

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