Academy Algebra II 8.1: Model Inverse & Joint Variation

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Academy Algebra II 8.1: Model Inverse & Joint Variation HW: p.555 (4 – 26 even) Quiz 8.1-8.3: Tuesday, 2/10 This Thursday: go to room 303

Two variables show inverse variation if they are related as follows: y varies inversely with x

Two variables show direct variation if they are related as follows: y varies directly with x

z varies jointly with x and y Joint variation occurs when a quantity varies directly with the product of two or more other quantities. z varies jointly with x and y

Tell whether x and y show direct variation, inverse variation, or neither.

Tell whether x and y show direct variation, inverse variation, or neither.

The variables x and y vary inversely The variables x and y vary inversely. Use the given values to write an equation relating x and y. Then find y when x = 3. 1.) x = 1, y = 9 2.) x = 7, y = 2

Write an equation relating x, y , and z given that z varies jointly with x and y. Then find z when x = -4 and y = 5. 1.) x = 8, y = 6, z = 12 2.) x = 6, y = -7, z = -3

Determine whether x and y show direct variation, inverse variation, or neither. 1.) 2.) X Y 12 132 18 198 23 253 29 319 34 374 X Y 4 21 6 14 8 10.5 8.4 10 12 7

Problem Solving: p.556 #37 The number n of photos your digital camera can store varies inversely with the average size s (in megapixels) of the photos. Your digital camera can store 54 photos when the average photo size is 1.92 megapixels. Write a model that gives n as a function of s. How many photos can your camera store when the average photo size is 3.87 megapixels?