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Assume that y varies inversely with x. If y= 1.6 when x= 0.5, find x when y= 3.2

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5 votes

Answer:

x = 0.25

Explanation:

If y varies inversely with x, then:


y \propto (1)/(x) \implies y=(k)/(x) \quad \textsf{(for some constant k)}

Given:

  • y = 1.6 when x = 0.5

Substitute the given values into the found equation and solve for k:


\implies 1.6=(k)/(0.5)


\implies k=1.6(0.5)


\implies k=0.8

Therefore:


y=(0.8)/(x)

To find the value of x when y = 3.2, substitute y = 3.2 into the found equation and solve for x:


\implies 3.2=(0.8)/(x)


\implies x=(0.8)/(3.2)


\implies x=0.25

User Basbabybel
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