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8.1 Direct Variation.notebook                                                            March 18, 2013


                 Direct Variation and Proportion
                The water pressure, y on a scuba diver  Depth Pressure               y
                                                                                     x
                increases with the diver's depth x meters x (m) y (kPa)
                 beneath the surface.  
                                                             3     29.4            9.8

                                                          6       58.8

                                                          9       88.2            

                                                          12      117.6
8.1 Direct Variation.notebook                                                 March 18, 2013



                                                       Hours (x)    Pay (y)

                                                           2           15
                   y                                       3           22.5
              k =  x    direct variation                   4           30


             If you work 12 hours, how much money will you make? 
8.1 Direct Variation.notebook                                                                    March 18, 2013




                 If y varies directly as x, and y = 15 when x = 24, find x when y = 25.




                 If y is directly proportional to x2 and y = 12 when x = 4 find y when x = 6. 
8.1 Direct Variation.notebook                                                          March 18, 2013


             The amount of hydrogen produced when sodium is added to water varies 
             directly as the amount of sodium added.  If 92 g of sodium produces 4 g 
             of hydrogen find the amount of sodium needed to produce 10 g of hydrogen.  

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8.1 direct variation

  • 1. 8.1 Direct Variation.notebook March 18, 2013 Direct Variation and Proportion The water pressure, y on a scuba diver  Depth Pressure y x increases with the diver's depth x meters x (m) y (kPa)  beneath the surface.   3 29.4          9.8 6 58.8 9 88.2          12 117.6
  • 2. 8.1 Direct Variation.notebook March 18, 2013 Hours (x) Pay (y)     2    15 y     3    22.5 k =  x    direct variation     4    30 If you work 12 hours, how much money will you make? 
  • 3. 8.1 Direct Variation.notebook March 18, 2013 If y varies directly as x, and y = 15 when x = 24, find x when y = 25. If y is directly proportional to x2 and y = 12 when x = 4 find y when x = 6. 
  • 4. 8.1 Direct Variation.notebook March 18, 2013 The amount of hydrogen produced when sodium is added to water varies  directly as the amount of sodium added.  If 92 g of sodium produces 4 g  of hydrogen find the amount of sodium needed to produce 10 g of hydrogen.