A summer camp wants to take a field trip to the water park. They are taking a school bus that can hold 42 students. It will cost $25 to park the bus. Tickets to the water park are $18.50 per person.

A) write a function that models the total cost for the summer camp to go to the water park

B) identify and explain the domain and range for this scenario

Solution:

a. c = total cost

n = # of people who go to the water park

c = 18.50n + 25

b. Solutions may vary. Students might identify that if no one signs up there will be no trip. They may also recognize that if more than 42 students want to come, they could request another bus.

The problem says that the bus can only hold 42 people, so I know that my domain has to be less than or equal to 42. However, since negative numbers are also less than 42 and I can’t have negative people. I have to have a lower limit on my domain of 0. To find the range values, I simply use the limits I set on the domain and substitute those values into my equation to find my limits on the range.

Therefore, my domain is only integers and my range is