A youth group is planning a trip to a local amusement park. They are taking a van which holds 10 people. It will cost $25 for parking and tickets to enter the park are $18 per person.

Question

1. Finding the domain for the situation: (5 points each)

1. a. What is/are the constraint(s) for this situation? Explain
2. b. What is the domain of the function?

2. Finding the range for the situation above: (5 points each)

1. a. What are the costs for the smallest number of people and largest number of people? Explain your reasoning for both answers.
2. b. What is the range of the function?

3. Create an equation for this situation. Make sure you explain what your variables represent. (10 points)

Answer 1

C = 25 + 18x, C is measured in dollars, x is number of people in the van, constraint is how many people can you stuff in the van.

domain is 0< x < 10

range is 0< C < 205

max cost = 25+18(10) = $205, min cost = $0