Suppose an amusement park charges an entry fee of $25. In addition, each ride costs $1.50 and each show costs $2.25. If r represents the number of rides and s represents the number of shows, which algebraic expression represents the total cost?
The entry fee is a fixed cost, so it does not depend on the number of rides or shows. The total cost of the rides will be $1.50 times the number of rides r, and the total cost of the shows will be $2.25 times the number of shows s. Therefore, the total cost can be calculated by adding the entry fee, the cost of the rides, and the cost of the shows:
Total cost = Entry fee + Cost of rides + Cost of shows
Total cost = $25 + $1.50r + $2.25s
The algebraic expression that represents the total cost is $25 + $1.50r + $2.25s.
The algebraic expression that represents the total cost can be calculated by adding the cost of the entry fee, the cost of the rides (r * $1.50), and the cost of the shows (s * $2.25).
So, the algebraic expression for the total cost would be:
$25 + (r * $1.50) + (s * $2.25)