Ms. chen is planning to take her camp group on a field trip to pottery bayou where each person will create her own piece of art pottery. the regular cost is $19 per person. there is a group special that costs $12 per person with an additional $84 fee for a private room. ms. chen is trying to decide if she should use the regular price or the group special.

(part 1)write an equation to show the total cost of the regular price with x people.

(part 2)write an equation to show the total cost of the group special with x people.

(part 3)graph the equations

(part 4) when would the two admission prices be the same?

(part 5)how much would it cost to bring 8 people on the field trip for the regular price, and how much for the group special?

(part 6)when would it be better to go with the regular price and when would it be better to go with the group special?

(part 7)the director of the camp told ms. chen that she can have a budget of $150 to bring as many campers as she can. which deal should ms. chen go with and what is the maximum number of people she can bring with $150?

*use what you know about solving systems of equations to ms. chen solve her dilemma. you may use those equations in you solve this problem. complete all answers, and if you could give a brief explanation, if you can. *