Which of the following represents the purchase price in dollars for 2,500 pencils?
20n represents the purchase price in dollars for 2,500 pencils.
To determine the price for 2,500 pencils, we need to multiply the unit price of each pencil, represented as 'n', by the quantity of pencils. Therefore, the formula for the total cost is 2,500 * n, which simplifies to 20n when the unit price is interpreted as 0.01n.
This option suggests that the total cost for 2,500 pencils is 10n, which would imply that each pencil costs only $0.004, or 0.4 cents. This price per pencil is not realistic for standard pencil pricing, making this choice incorrect.
Choosing 15n indicates that the total cost would be $15 for 2,500 pencils, which would mean each pencil costs $0.006, or 0.6 cents. While this is more reasonable than 10n, it still underestimates the price of a pencil, making this option incorrect.
This representation states that the purchase price for 2,500 pencils is 20n, which means each pencil costs $0.008, or 0.8 cents. This is a realistic price point for bulk purchasing of pencils, thus correctly representing the total price.
The choice of 30n implies that the total cost for the 2,500 pencils is $30, which means each pencil would cost $0.012, or 1.2 cents. While this price is feasible, it does not accurately reflect the cost based on the provided relationship with 'n' as seen in the correct answer.
The correct representation of the purchase price for 2,500 pencils is 20n, indicating a reasonable cost per pencil. The other options either miscalculate the price per pencil or do not align with typical pricing models. Understanding the relationship between quantity and unit price is crucial for determining total costs accurately.
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