Question

Determine whether y varies directly with x. If so, find the constant of the variation.

y=7/x

Answer 1

Direct variation is modeled by

... y = k·x

Then the value of k can be found by finding the ratio of any corresponding pair of numbers from your table. I find it convenient to choose the one where x=10, so the math is easy to do mentally.

... y/x = k

... 16/10 = k = 1.6

Then the equation is

... y = 1.6x

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Checking the other values in the table, we find that this equation fits all of them, so you do have direct variation.Step-by-step explanation: