Use k as the constant of proportionality to write the equation expressing the relationship: y varies inversely as x. if y = 10 when x = 5, determine k.

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24-02-2018
Mathematics

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Use k as the constant of proportionality to write the equation expressing the relationship: y varies inversely as x. if y = 10 when x = 5, determine k.

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susanwiederspan susanwiederspan · Answer 1 · 2018-02-24T11:46:22+01:00

susanwiederspan susanwiederspan

24-02-2018

For an inverse relationship of the form
[tex]y= \dfrac{k}{x} [/tex]
you can solve for k, the constant of variation (or proportionality), by multiply both sides of the function to get [tex]xy=k[/tex]. Substituting 5 for x and 10 for y, you see that k = 50.

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