What is the constant of proportionality in granola bar costs?

How can we determine the constant of proportionality for granola bar costs? The constant of proportionality can be calculated by dividing the total cost by the number of granola bars. For example, if 10 granola bars cost $5.00, the constant of proportionality would be $0.50 per granola bar.

Constant of Proportionality Calculation

The constant of proportionality, also referred to as the proportionality constant, is a key concept in understanding direct variation relationships between two quantities. It represents the ratio between the two variables when they are directly proportional to each other. In the context of granola bar costs, the constant of proportionality is the cost per granola bar.

To calculate the constant of proportionality for granola bar costs, we need to divide the total cost by the number of granola bars. This will give us the cost per granola bar, which remains constant regardless of the quantity purchased.

Example Calculation

Let's consider an example where 10 granola bars cost $5.00. To find the constant of proportionality, we divide the total cost ($5.00) by the number of granola bars (10). This calculation results in a constant of proportionality of $0.50 per granola bar.

This means that each granola bar costs $0.50, and this cost remains the same whether you purchase 1 granola bar or 100 granola bars. The constant of proportionality provides a clear understanding of the cost relationship between the number of granola bars and the total cost.

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