Jamie teaches ballroom dance at a dance studio. Each month, she offers a series of group classes for a charge of $$45$/person.

1. Write a function $f$ to represent Jamie’s monthly earnings based on the number of participants. What is an appropriate domain for your function?

   Answer (a):

   $f(n) = 45n$, where $n$ is the number of participants.
   An appropriate domain is the set of all whole numbers.

2. Jamie rents a large room at the dance studio for $\$1200$/month. Write a function p to represent Jamie’s monthly profits based on the number of participants. How many participants does Jamie need to make a profit each month?

   Hint (b):

   Jaime's monthly earnings must be greater than $\$1200$ for him to make a profit.