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Assume y varies inversely as x, how do you write the equation given y=-4 when x=16?

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 = -4 and x = 16, the equation becomes -4 = k/16. Solving for k, we multiply both sides by 16, resulting in k = -64. Therefore, the equation is y = -64/x.

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Answer 2

Savannah Anderson

#y=-64/x#

The statement is expressed as #yprop1/x#

#"inverse means " 1/("variable")#

To convert into an equation introduce k, the constant of variation.

#rArry=kxx1/x=k/x#

To find k use the condition that y = - 4 when x = 16

#rArry=k/xrArrk=yx#

#rArrk=-4xx16=-64#

#"Equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=-64/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.