Final answer:
Yes, the table of values for the total cost for a person to enter the carnival and go on a set number of rides does create a function, because each input (number of rides) has a unique output (total cost), satisfying the definition of a function.
Step-by-step explanation:
The question you've asked is about whether a table of values representing the total cost for a person to enter a carnival and go on a certain number of rides creates a function. When discussing functions, an important definition to remember is that a function is a relation where each input has a unique output. In the context of the carnival's pricing, the input is the number of rides and the output is the total cost.
For this scenario, the cost to enter the carnival is a fixed amount ($8), and each ride costs an additional $3. The total cost can be calculated by the equation Total Cost = Entry Fee + (Number of Rides × Cost per Ride). This relationship will give a unique total cost for each number of rides, which means the rule "each input has a unique output" is satisfied.
Hence, the answer is A. Yes, because each input (rides) has a unique output (total cost). Each number of rides correlates to one specific total cost, defining a functional relationship between the number of rides and the total cost.