Maria's pie shop is selling small apple pies with a diameter of 6 inches for $3.99 and large apple pies with a diameter of 12 inches for $6.99. Which pie is the better buy?
12 inches, as 6.99/2 = about 3.49, which is cheaper than 3.99.
6/3.99 is bigger than 12/6.99, which means that the large apple pie would be the better buy by about 50 cents.
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To determine which pie is the better buy, we need to compare the prices per square inch for both sizes of pies.
For the small apple pie with a diameter of 6 inches:
- Radius = 6 inches / 2 = 3 inches
- Area = π * (radius)^2 = π * (3 inches)^2 ≈ 28.27 square inches
- Price per square inch = 0.141 per square inch
For the large apple pie with a diameter of 12 inches:
- Radius = 12 inches / 2 = 6 inches
- Area = π * (radius)^2 = π * (6 inches)^2 ≈ 113.1 square inches
- Price per square inch = 0.062 per square inch
Comparing the prices per square inch:
- The small apple pie costs approximately $0.141 per square inch.
- The large apple pie costs approximately $0.062 per square inch.
Since the large apple pie has a lower price per square inch, it is the better buy in terms of value for money.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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