Final answer:
The algebraic expression for the total cost of the tickets is 10A + 6(14-A), where A represents the number of adults. This expression represents multiplying the cost of the adult ticket by the number of adults and the cost of the child ticket by the number of children.
Step-by-step explanation:
The algebra expression for the total cost of the tickets is 10A + 6(14-A), option (b).
In the expression, A represents the number of adults, and 14-A represents the number of children. The cost of an adult ticket is $10, and the cost of a child ticket is $6. To find the total cost, we multiply the cost of each type of ticket by the number of tickets and add them together.
For example, if there are 5 adults (A = 5) and 9 children (14-5 = 9), the expression becomes 10(5) + 6(9), which equals $50 + $54, resulting in a total cost of $104.