Answer:
The equation that shows the total cost of the regular price with x people is C=16x.
The equation that shows the total cost of the special price with x people is C=54+10x.
Step-by-step explanation:
Let x be the number of people in the group and C be the total cost.
1. If the regular cost is $16 per person, then Ms. Chen will pay the regular price $16x for the group. Thus, the equation that shows the total cost of the regular price with x people is C=16x.
2. If there is a group special cost $10 per person with an additional $54 fee for a private room, then Ms. Chen will pay special price $(54+10x) for the group. Thus, the equation that shows the total cost of the special price with x people is C=54+10x.