Final answer:
To calculate the total amount spent at the affair with an entry fee and ticket cost, the algebraic expression would be C = 6 + 0.50x, where x is the number of tickets and C is the total cost.
Step-by-step explanation:
To represent the total amount spent at the affair with an entrance fee and a cost per ticket, we can write an algebraic expression. Let's assume that x is the number of tickets purchased. The total cost (C) will be the sum of the entrance fee and the cost of the tickets.
The entrance fee is a fixed amount of $6, and the cost per ticket is $0.50. Therefore, the total amount spent (C) can be expressed as:
C = 6 + 0.50x
This algebraic expression shows that we start with the entrance fee of $6 and add $0.50 for every ticket purchased, represented by x. If you purchase 5 tickets, for example, the expression would calculate the total cost as C = 6 + 0.50(5) = 8.50, meaning that $8.50 is spent in total.