Assume that y varies inversely as x. If x = 12 when y = 9, what is x when y = -3?

Andreasihf

Andreasihf

Answered question

2022-09-03

Assume that y varies inversely as x. If x = 12 when y = 9, what is x when y = -3?

Answer & Explanation

ivice7u

ivice7u

Beginner2022-09-04Added 18 answers

The basic inverse variation equation is
xy=k
where k is the constant of variation. In order to write the equation that reflects this relationship, we must find k. We use the known relationship of x=12 and y=9 to find k. Substituting in the basic equation, we will find k:
xy=k
(12)(9)=k
108=k
This then yields the equation which relates x and y:
xy=108
Now, use this equation and substitute the second value of y in order to find its related value of x:
xy=108
x(−3)=108
x = 108 - 3
x=−36

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