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| Question 792507:  Let A represent the amount on money Paul has in his pocket. Paul and his girlfriend go out to dinner. They spend x dollars on food, pay 8% tax on the dinner check, and leave a 15% tip (not including tax).
 a.) Write a function relating the amour of money in Paul's pocket to the amount they spend on food for dinner.
 b.) If Paul has $46 in his pocket, what is the maximum amount they could spend on food for dinner?
 Found 2 solutions by  stanbon, MathTherapy:
 Answer by stanbon(75887)
      (Show Source): 
You can put this solution on YOUR website!  Let A represent the amount of money Paul has in his pocket. Paul and his girlfriend go out to dinner. They spend x dollars on food, pay 8% tax on the dinner check, and leave a 15% tip (not including tax). a.) Write a function relating the amount of money in Paul's pocket to the amount they spend on food for dinner.
 In pocket: A
 Spent: x + 0.08x  + 0.15x = 1.23x
 A(x) = Ao - 1.23x
 b.) If Paul has $46 in his pocket, what is the maximum amount they could spend on food for dinner?
 Obvious answer:: $46
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 Cheers,
 Stan H.
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Answer by MathTherapy(10556)
      (Show Source): 
You can put this solution on YOUR website! Let A represent the amount on money Paul has in his pocket. Paul and his girlfriend go out to dinner. They spend x dollars on food, pay 8% tax on the dinner check, and leave a 15% tip (not including tax). a.) Write a function relating the amour of money in Paul's pocket to the amount they spend on food for dinner.
 b.) If Paul has $46 in his pocket, what is the maximum amount they could spend on food for dinner?
 
 A(D) = D + .08D + .15D -----
   
 Amount they could spend for FOOD =
  , or $37.39837398 ≈ $   
 You can do the check!!
 
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