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Work each problem. Suppose y is directly proportional to x, and xis replaced by 1/3x. What happens to y?

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asked 2021-06-17
Work each problem. Suppose y is directly proportional to x, and xis replaced by \(\displaystyle\frac{{1}}{{3}}{x}\). What happens to y?

Answers (1)

2021-06-18

Take the information given and writeit out in mathematical form. This shows that y varies directly as x. We see that when we replace x with \(\frac{1}{3}x\), is multiplied be \(\frac{1}{3}\). y=kx
\(y=k(\frac{1}{3}x)\)
\(y=\frac{1}{3}kx\)

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