# Explore by dfhdhdhdhjr

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```									  Explore
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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