Final answer:
The total cost at an amusement park with a fixed entrance fee and a per ride cost is given by the equation C = F + 2.50R, where 'C' is the total cost, 'F' is the entrance fee, and 'R' is the number of rides taken.
Step-by-step explanation:
To write an equation that represents the total cost for any amount of rides at an old-style amusement park, we start with the fixed entrance fee, and then add the variable cost per ride. Suppose the entrance fee is a fixed amount, which we will call 'F.' Let 'R' represent the number of rides a visitor takes. Each ride costs $2.50, so the cost for 'R' rides is 2.50 times 'R' or $2.50R. The total cost 'C' can be represented by the equation:
C = F + 2.50R
If we assume that the entrance fee is a known amount, we can simply plug that number into the equation to find the total cost for any number of rides.