A situation that can be represented by the algebraic expression 6b+w is the cost of purchasing a certain number of items at a store. For example, suppose that a store sells bags of apples for $6 each and boxes of apples for $4 each. If a customer wants to purchase b bags and w boxes of apples, the total cost of their purchase can be represented by the expression 6b+w.
In this situation, the variable b represents the number of bags of apples that the customer wants to purchase, and the variable w represents the number of boxes of apples that the customer wants to purchase. The constant 6 represents the cost of each bag of apples, and the constant 4 represents the cost of each box of apples. When these values are plugged into the expression 6b+w, the result is the total cost of the customer's purchase.
For example, if the customer wants to purchase 2 bags of apples and 3 boxes of apples, the expression 6b+w would become 6(2)+3, or 12+3, or 15. This means that the total cost of the customer's purchase would be $15. Overall, the expression 6b+w can be used to represent the cost of purchasing a certain number of items at a store, where the variables represent the number of each type of item purchased and the constants represent the cost of each type of item.