Final answer:
Cameron can spend at most $20 at the carnival. The correct inequality representing the number of rides he can go on, factoring in the admission and ride costs, is 6.50 + 0.75r ≤ 20.00. Cameron can go on a maximum of 18 rides.
Step-by-step explanation:
The question is about a student named Cameron who wants to determine how many rides he can go on at the carnival given a certain maximum spending limit. To form the inequality, we take into account the price of admission and the cost per ride. Cameron's budget constraint is $20.00. The price of admission is a fixed cost of $6.50, and each ride costs $0.75. So, we can create an inequality to represent the number of rides 'r' Cameron can go on. The correct inequality would take the total cost of admission, add the cost of 'r' number of rides, and set this total to be less than or equal to his budget.
The correct inequality representation is given by:
6.50 + 0.75r ≤ 20.00
Cameron's budget for the rides alone can be calculated by subtracting the admission fee from his total budget:
20.00 - 6.50 = 13.50
By dividing this amount by the cost per ride:
13.50 / 0.75 = 18
Cameron can go on a maximum of 18 rides. Therefore, the best choice is (c) 6.50 + 0.75r ≤ 20.00.