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   2.15 Building Equations
Guess-Check-Generalize Method
        Example 1
Vanessa works 32 hours per week at
 her job. Her boss offers her a full-
 time position (40 hours per week)
 and a $2 per hour raise. She says,
 “This is great! Now I’ll make $200
 more per week!” What is
 Vanessa’s hourly wage before the
 raise?
 Organize Vanessa’s Information

     Before Raise                       After Raise
       32 hours per week                40 hours per week


      Unknown hourly rate            Unknown hourly rate + $2

   32 ∙ Unknown hourly rate =     40 ∙ (Unknown hourly rate + 2) =
       Total money earned                  New Earnings

Total money earned + $200 = New
                                           New Earnings
            Earnings
Use Guess-Check-Generalize
   Before Raise                         After Raise
     32 hours per week                  40 hours per week


   Unknown hourly rate              Unknown hourly rate + $2

 32 ∙ Unknown hourly rate =       40 ∙ (Unknown hourly rate +2) =
     Total money earned                    New Earnings

Total money earned + $200     =           New Earnings
Use Guess-Check-Generalize
   Before Raise                          After Raise
     32 hours per week                   40 hours per week


   Unknownxhourly rate                       x
                                     Unknown hourly rate + $2

 32 ∙ Unknown xhourly rate =                     x
                                   40 ∙ (Unknown hourly rate + 2) =
     Total money earned                     New Earnings

       32 x
Total money earned + $200      =            New + 2)
                                           40 (xEarnings

         32 x + 200            =            40 (x + 2)

				
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posted:2/11/2012
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