Final answer:
The function f(x) = 15x + 80 is a linear equation where x represents the hours worked, and the equation calculates the total earnings for a job planning birthday parties including an hourly rate and a flat fee.
Step-by-step explanation:
The function f(x) = 15x + 80 represents the earnings in dollars for a person planning birthday parties when they work x hours. The term 15x indicates that the person earns $15 per hour of work, and $80 represents the flat fee that is added to the hourly earnings, regardless of the hours worked.
Consider a hypothetical example similar to this problem. Let's say another tutor, Svetlana, charges a one-time fee of $25 plus $15 per hour of tutoring. The linear equation expressing Svetlana's total earnings for each session would be y = 25 + 15x.