Final answer:
The slope of the line representing the total cost after each ride at the county fair is $2, as this is the additional cost for each ride on top of the initial ticket price.
Step-by-step explanation:
The student's question involves the cost of attending a county fair, which can be modeled with a linear equation where the slope represents the additional cost per each ride taken. In this context, the slope of the line indicates the rate of change in total cost with respect to the number of rides taken. Since the fair charges $2 for each ride and there's an initial cost of $5 for the ticket, the slope is $2. This is because each additional ride adds an extra $2 to the total cost, irrespective of the $5 initial ticket cost.
Thus, the slope of the line representing the total cost after each ride is $2. This is a direct application of the concept of slope in a linear equation, representing a constant rate of change. In this scenario, the cost increases by $2 for every additional ride used.