Question

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 $21 per person. There is a group special that costs $8 per person with an additional $104 fee for a private room. Ms. Chen is trying to decide if she should use the regular price or the group special.

Write an equation to show the total cost of the regular price with x people (8 points)
Write an equation to show the total cost of the group special with x people (8 points)

Answer 1

1.
`C=21x.`

2.
`C=(8x+104).`

Explanation:

Let the number of people in the group be x. Denote the total cost as C.

1. If the regular cost is $21 per person, then the total regular cost for x people is
`C=21x.`

2. If the special cost is $8 per person, then the total special cost for x people is
`\$8x.` There is an additional $104 fee for a private room, thus the total special cost is
`C=(8x+104).`