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30 January, 23:16

Suppose that three variables x, y, and x are related by the rule z = kxy with k>0. Considering x>0 andy>0 how will the value of z change if : x is held constant and t increases? x is held constant and t decreases?

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  1. 31 January, 02:16
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    Given that the three variables x, y, and z are related by the rule z = kxy with k>0.

    This means that x and y are directly proportional to z.

    Given that x > 0 and y > 0

    For values that are directly proportional, an increase in the independent variable leads to an increase in the dependent variable and a decrease in the independent variable leads to a decrease in the dependent variable.

    Therefore, the value of z will increase if x is held constant and y increases.

    And the value of z will decrease if x is held constant and y decreases.
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