z is directly proportional to the product of x and the cube root of y. If x = 2 and y = 8, then z = 12.
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We can write this as: $z \propto x \sqrt[3]{y}$ This can be written as an equation by introducing a constant of proportionality k: $z = k x \sqrt[3]{y}$ Show more…
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Express the statement as a formula that involves the given variables and a constant of proportionality $k,$ and then determine the value of $k$ from the given conditions. $z$ is directly proportional to the product of $x$ and the cube root of $y .$ If $x=2$ and $y=8,$ then $z=12$
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