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# Class Note for MATH 1310 at UH 2

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This 5 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Houston taught by a professor in Fall. Since its upload, it has received 19 views.

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Date Created: 02/06/15

Math 13 10 Chapter 3 Section 33 Variation Direct Variation P is directly proportional to Q is expressed by the equation P kQ Where k is a nonzero constant We also say that P is proportional to Q or P varies directly as Q The constant k is called the constant of proportionality Inverse Variation k P is inversely proportional to Q is eXpressed by the equation P Where k is a nonzero constant We also say that P varies inversely as Q The constant k is called the constant of proportionality Joint Variation P is jointly proportional to Q and R is eXpressed by the equation P kQR Where k is a nonzero constant We also say that P varies jointly as Q and R The constant k is called the constant of proportionality Example 1 Write a formula to express the following statement B varies directly as the square root of C Example 2 Write a formula to express the following statement G varies jointly as H and J Example 3 Write a formula to express the following statement y varies inversely as the cube of x Example 4 Write a formula to express the following statement Then find k the constant of proportionality W varies jointly as X and Y and inversely as the square of Z IfW 2 X 7 Y 2 then Z 3 Example 5 Write a formula to express the following statement Then find k the constant of proportionality L varies directly as the square of M and inversely as the cube root of N If L 6 and M 2 then N 8 Example 6 At Fred s Flooring the cost of carpet is directly proportional to the area to be covered by carpet If a room measuring 120 square feet costs 480 to carpet find the cost of carpeting a room that measures 156 square feet Example 7 Buy Right Electronics sells a popular computer game at a price that is inversely proportional to the number of games sold per month When they are selling 800 games per month the price is 50 each If they sell l000 games per month then What should the new price of the computer game be

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