Final answer:
The correct proportions for the given scenario are a) 5 pounds = $12.80, b) $1 = 0.39125 pounds, and c) $2.56 = 1 pound, showing the relations between weight and price. These consumer costs can be compared to commercial prices, such as fish bought at $3.25 per pound. Proportions are a vital concept in understanding pricing and quantities.
Step-by-step explanation:
The student's question concerns creating a proportion web from the given scenario where turkeys are on sale for 5 pounds at a price of $12.80. Proportion webs are used to show equivalent ratios or relationships between quantities. In this case, a proportional relationship can be set up between the weight of the turkeys in pounds and their corresponding price in dollars.
Here are the correct proportions:
- a) 5 pounds = $12.80: It means for every 5 pounds of turkey, the cost is $12.80.
- b) $1 = 0.39125 pounds: This shows the amount of turkey you can get for one dollar.
- c) $2.56 = 1 pound: If we want the cost of one pound, we divide the total price by the total weight in pounds, which gives us $2.56 for 1 pound.
- d) It often helps to check the consistency of the proportions by ensuring they all represent the same rate. For example, both $2.56 for 1 pound and 5 pounds for $12.80 should reflect the same price per pound when calculated.
Additional Examples:
To help understand the concept of proportions and prices per pound, consider these examples:
- According to the information provided, the price for commercial buyers of fish is $3.25 per pound, higher than what consumers would find at the grocery store. This establishes a specific price for each pound. If we had a proportion, it would look like $3.25 for 1 pound of fish.
- Looking at historical prices of fruits from 2001, we can set up proportions such as: 10 apples for $5 shows that the price per apple is 50 cents, and thus, $1 would get you 2 apples.
- The concept of equilibrium quantity and equilibrium price is explained by the supply and demand for salmon at $3.25 per pound for a quantity of 250,000 fish. A demand and supply model could illustrate this scenario effectively.