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The term "cost per pound" refers to how much you pay for each unit of weight, specifically one pound, of a given product. This is incredibly useful when comparing prices of products sold by weight, such as fruits, vegetables, or candies. For the exercise, you want to determine what one pound of candy costs based on total costs and total pounds purchased. To find the cost per pound, you would use a simple division operation: divide the total cost (in cents) by the total weight (in pounds). For example, if 5 pounds of candy costs 500 cents, then the price per pound would be calculated as 500 cents divided by 5 pounds, giving you 100 cents per pound.
By dividing the total cost by the total weight, you standardize the price to a single unit, making comparisons much easier. This is especially useful when prices vary per package or store.

An algebraic formula is an equation used to express relationships between variables. In this case, the formula helps you find the cost per pound of candy. This formula is a form of the unit rate, which in simple terms, represents one unit of one quantity in relation to one unit of another quantity.The specific formula derived in the exercise is:\[ \text{Cost per pound} = \frac{c}{p} \]Where:

• \( c \) is the total cost in cents.
• \( p \) is the total weight in pounds.

Using this formula allows you to quickly compute how much one pound costs, regardless of the total quantity purchased. This is a fundamental algebraic tool, helping to break down larger quantities into manageable and comparable units. It applies to a wide range of real-world problems beyond just candy.

Ratio and proportion are mathematical concepts used to compare quantities and determine how they scale relative to each other. A ratio is a comparison of two numbers, while a proportion states that two ratios are equal.In the context of the "cost per pound" problem, you are essentially calculating a ratio. The cost per pound is expressed as the ratio of total cost to total pounds, or \( \frac{c}{p} \). This tells you how many cents correspond to each pound.Understanding this concept can help when dealing with varying quantities and prices. For example, if a different store sells 10 pounds of candy for 800 cents, the cost per pound there would be 80 cents per pound. By knowing both ratios, 100 cents per pound at one store and 80 at the other, you can easily compare and decide which is the better deal.This skill is not just for comparing prices, but is vital for understanding mixing ingredients, comparing speeds, or even adjusting recipes, wherever there is a need to maintain consistent relationships between quantities.