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How do you write an inverse variation equation given y=2 when x=5?

Answer 1

The inverse variation equation can be written as y = k/x, where k is a constant. To find the value of k, substitute the given values of x and y into the equation and solve for k. In this case, when x = 5 and y = 2, the equation becomes 2 = k/5. Solving for k, we multiply both sides of the equation by 5, giving us k = 10. Therefore, the inverse variation equation is y = 10/x.

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Answer 2

Avery Alexander

#y=10/x#

#"the initial statement is "yprop1/x#

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

#rArry=kxx1/xrArry=k/x#

#"to find k use the given condition"#

#y=2" when "x=5#

#y=k/xrArrk=xy=5xx2=10#

#"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=10/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.