SOLUTION: 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%

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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(10552)   (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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