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Good Morning! Please take out the following: Homework Warm up sheet Math notebook Pencil Red pen Warm Up 9/11/13 Currently, you have $60 and your sister has $135. You decide to save $5 of your allowance each week, whereas your sister decides to spend her whole allowance plus $10 each week. How long will it be before you have as much money as your sister? 1) Write a verbal model for this problem. 2) Assign labels to the verbal model. 3) Write an equation that represents the model. 4) Solve the equation and answer the question. Warm Up Answer 1) Money you currently have + money you save each week * time = money sister currently has – extra money she spends each week * time 2) Money you currently have = 60 (dollars) Money you save each week = 5 (dollars) Money sister currently has = 135 (dollars) Extra money she spends each week = 10 (dollars) Time = w (weeks) Warm Up Answer Cont. 3) 60 + 5w = 135 – 10w 4) 60 + 5w = 135 – 10w + 10w + 10w 60 + 15w = 135 - 60 - 60 15w = 75 15 15 It will take 5 weeks before you have as much money as your sister. 3.6 Literal Equations and Formulas Literal “letter” equations: an equation that uses more than one letter as a variable. D=rt A=bh C= d I=prt You can solve the equation for any of the variables. Practice For D=rt solve for r D = rt t t D=r t Practice For P=2b + 2h, solve for h P = 2b + 2h -2b -2b P - 2b = 2h P - 2b = 2h 2 2 P – 2b = h 2 Practice For I = prt solve for p (Interest = principle ∙ rate ∙ time) I = prt rt rt I = p rt Try these How long will it take me to make $50 interest on $350 at 10% interest? Remember to use I=prt I = prt pr pr I =t pr 50____ = t 350 (.10) 50 = t 35 ~1.43 years = t Try these Solve for y x = 4y – 16 6 x = 4y – 16 6 6x = 4y – 16 +16 +16 6x + 16 = 4y 4 4 6x + 16 = y 4 Try these Solve for x 3x + y = 4 3x + y = 4 -y -y 3x = 4 – y 3 3 x=4–y 3 Homework Page 157 #5-19 Test corrections due tomorrow Study for fraction quiz tomorrow Study for chapter 3 test Friday