a) You need to write the cost function using the information provided by problem, that links the number of people and admission price such that:

`C(n) = 0.75*n + 5*3 + 8*2`

`C(n) = 0.75*n + 15 + 16`

`C(n) = 0.75*n + 31`

**Hence, evaluating the equation describing the cost of the familiy going to the fair yields `C(n) = 0.75*n + 31` .**

b) Notice that the domain of the function comprises the values of n that represents the number of raffle tickets bought. Hence, the number of the tickets bougth can not be negative. If there are no tickets bought, then n = 0.

**Hence, the domain of the function comprises the number of tickets bougth such that: `[0,oo).` **

c) The range of the function may be found substituting all values from domain for n in equation `C(n) = 0.75*n + 31` , hence for n = 0 => `C(0) = 31.75` .

**Hence, the interval `[31.75 , oo) ` expresses the range of the function.**

## We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

- 30,000+ book summaries
- 20% study tools discount
- Ad-free content
- PDF downloads
- 300,000+ answers
- 5-star customer support

Already a member? Log in here.

Are you a teacher? Sign up now