Final answer:
The total cost of the regular price for a group of x people is represented by the equation C = 22x, while the total cost of the group special is represented by C = 18x + 24.
Step-by-step explanation:
Equations for Total Cost
1. Total Cost of Regular Price: Ms. Chen can calculate the total cost for x people with the regular price by using the equation C = 22x. Here, C represents the total cost, and x is the number of people in the group.
2. Total Cost of Group Special: To calculate the total cost for x people with the group special, Ms. Chen would use the equation C = 18x + 24. C is still the total cost, x is the number of people, and 24 represents the additional fee for the private room.
By comparing the results of both equations for a specific number of people, Ms. Chen can determine which option is more cost-effective.