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Assume y varies inversely as x, how do you write the equation given y=18 when x=4?

Answer 1

The equation can be written as y = k/x, where k is the constant of variation. To find the value of k, substitute the given values of y and x into the equation and solve for k. In this case, when y = 18 and x = 4, the equation becomes 18 = k/4. Solving for k, we multiply both sides by 4 to get k = 72. Therefore, the equation is y = 72/x.

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Answer 2

Avery Alexander

#y=72/x#

#"the initial statement is "yprop1/x#

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

#rArry=kxx1/x=k/x#

#"to find k use the given condition"#

#y=18" when "x=4#

#y=k/x#

#rArrk=yx=18xx4=72#

#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=72/x)color(white)(2/2)|)))#

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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.