Question

If y varies inversely as x and y=23 when x=8 find y when x=4

Answer 1

INVERSE VARIATION

EQUATION:

$y = \frac{k}{x}$

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First, find the constant of variation k using the formula k=xy.

$23 = \frac{k}{8}$

$k = (8)(23)$

$k = 184$

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Then, find y if x is equal to four using the formula y=184/x.

$y = \frac{184}{x}$

$y = \frac{184}{4}$

$y = 46$

Final Answer:

y = 46