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

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Respuesta :

Jenash16 Jenash16 · Answer 1 · 2021-01-22T04:36:33+01:00

EQUATION:

[tex]y = \frac{k}{x} [/tex]

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

[tex]23 = \frac{k}{8} [/tex]

[tex]k = (8)(23)[/tex]

[tex]k = 184[/tex]

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

[tex]y = \frac{184}{x} [/tex]

[tex]y = \frac{184}{4} [/tex]

[tex]y = 46[/tex]

Final Answer:

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