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Academy Algebra II

This lesson covers the concepts of inverse variation, direct variation, and joint variation. It includes solving equations and determining the relationship between variables. Quiz on Tuesday, Homework on Thursday.

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Academy Algebra II

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  1. 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

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

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

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

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

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

  7. 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

  8. 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

  9. Determine whether x and y show direct variation, inverse variation, or neither. 1.) 2.)

  10. 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?

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