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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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For an inverse relationship of the form

y= (k)/(x)
you can solve for k, the constant of variation (or proportionality), by multiply both sides of the function to get
xy=k. Substituting 5 for x and 10 for y, you see that k = 50.
User Jashwant
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