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If y varies inversely as x, and y = 5 as x = 6, how do you find y for the x-value of 10?

Answer 1

To find y for the x-value of 10, we can use the inverse variation equation. First, we need to find the constant of variation (k) by multiplying the initial values of x and y. In this case, when x = 6, y = 5. So, 6 * 5 = 30. Now, we can use the equation y = k/x to find y for the x-value of 10. Plugging in the values, we have 30 = k/6. Solving for k, we get k = 180. Finally, substituting k and x = 10 into the equation, we find y = 180/10 = 18. Therefore, when x = 10, y = 18.

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Answer 2

Eva Adamson

#y=3#

#"the initial statement is "yprop1/x#

#"to convert to an equation multiply by k the constant"# #"of variation"#

#y=kxx1/x=k/x#

#"to find k use the given condition"#

#y=5" when "x=6#

#y=k/xrArrk=yx=5xx6=30#

#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=30/x)color(white)(2/2)|)))#

#"when "x=10" then"#

#y=30/10=3#

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.