Inverse Variation Question 2 with Solution

Last week, I went over inverse variation, and I gave you four inverse variation problems to try on your own. You can see that post here: Inverse Variation

Today I would like to give a solution to the second of those four problems. You can see a solution to the first problem here: Inverse Variation Q1

Example: If x varies inversely as y2, and x is 3 when y is 5, then what is x when y is 3 ?

Try to solve the problem yourself before checking the solution below.

SolutionWe are given that y = 5 when x = 3. Since  x varies inversely as y2, we have that xyis a constant. So we get the following equation: (3)(25) = x(9). So 75 = 9x, and therefore x = 75/9 = 25/3.

 

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