SOLUTION: Please I have been going over this problem for 2 days now need help ANYONE!! A take-and-bake pizza store offers three sizes of circular pizzas: small (10 diameter), medium (12 dia

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Question 929191: Please I have been going over this problem for 2 days now need help ANYONE!!
A take-and-bake pizza store offers three sizes of circular pizzas: small (10 diameter), medium (12 diameter), and large (16 diameter).A special combination pizza comes “with everything” and costs $10.99 for a small, $12.75 for a medium, and $15.25 for a large.Which pizza is the best buy? Justify your response.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
AREA,

The pizza areas increasing size are 7.85, 9.42, 12.57.
Price as ratio "cost" to area are 1.4, 1.35, 1.21.

Which ratio shows the LOWEST money per unit area?
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Please I have been going over this problem for 2 days now need help ANYONE!!
A take-and-bake pizza store offers three sizes of circular pizzas: small (10 diameter), medium (12 diameter), and large (16 diameter).A special combination pizza comes “with everything” and costs $10.99 for a small, $12.75 for a medium, and $15.25 for a large.Which pizza is the best buy? Justify your response.


Area of small (10-unit diameter) pizza: pi*r^2, or pi*5^2, or 78.53982 sq units

Area of medium (12-unit diameter) pizza: pi*r^2, or pi*6^2, or 113.0973 sq units

Area of large (16-unit diameter) pizza: pi*r^2, or pi*8^2, or 201.0619 sq units



Cost, per square unit of small (10-unit diameter) pizza: 10.99/78.53982, or .139929 ≈ $0.13 

Cost, per square unit of medium (12-unit diameter) pizza: 12.75/113.0973, or .112735 ≈ $0.11 

Cost, per square unit of large (16-unit diameter) pizza: 15.25/201.0619, or .075847 ≈ $0.08 



As seen, the large pizza is the best buy, at $ per square unit, followed by the medium pizza,

at $0.11 per square unit, and finally, the small pizza - the worst buy - at $0.13 per square unit 

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