### Home > INT2 > Chapter 11 > Lesson 11.1.3 > Problem11-37

11-37.

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?

$f(n) = 45n$, 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?

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