If x doubles when y = k/x, what happens to y?

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Sharpen your skills for the Praxis Middle School Mathematics Test. Prepare with a variety of questions, hints, and explanations. Get ready to ace your exam!

Multiple Choice

If x doubles when y = k/x, what happens to y?

Explanation:
When y depends on x by being y = k/x, y is inversely proportional to x: as x gets larger, y gets smaller. If x doubles, substitute 2x for x in the expression: y becomes k/(2x), which is (1/2)(k/x). That means the original y is halved. For example, with k = 6 and x = 3, y = 2; if x increases to 6, y becomes 1, which is half of 2. So, y halves.

When y depends on x by being y = k/x, y is inversely proportional to x: as x gets larger, y gets smaller. If x doubles, substitute 2x for x in the expression: y becomes k/(2x), which is (1/2)(k/x). That means the original y is halved. For example, with k = 6 and x = 3, y = 2; if x increases to 6, y becomes 1, which is half of 2. So, y halves.

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