SOLUTION: Suppose y varies inversely as x and y=5 when x=20. Find x when y=2.

Question 180361This question is from textbook
: Suppose y varies inversely as x and y=5 when x=20. Find x when y=2. This question is from textbook

Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
yx=k.......eq 1
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5(20)=k
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k=100
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now that we know k we can write a formula. plugging in 100 for k in equation 1
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xy=100---now we are given y(2) and want to solve for x
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remember in an inverse relationship if one variable decreases the other increases and vice versa. Since y is decreasing we will expect that x will increase
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x(2)=100
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sure enough, x increased going from 20 to 50
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