Question

A company that teaches self-improvement seminars is holding one of its seminars in

Hampton. The company pays a flat fee of $69 to rent a facility in which to hold each session.
Additionally, for every attendee who registers, the company must spend $15 to purchase
books and supplies. Each attendee will pay $18 for the seminar. Once a certain number of
attendee register, the company will be breaking even. How many attendees will that take?
What will be the company's total expenses and revenues?

Answer 1

Explanation:

I take it that the $69 flat fee is for one event.

and we are talking about one event overall.

"breaking even" means that the sum of all expenses and revenues is 0.

so, with x being the number of attendees,

0 = 18x - 15x - 69

69 = 3x

x = 23

that means, with 23 attendees they will break even, and with every attendee more they will gain.

in the case of 23 attendees the company will have expenses of 69 + 23×15 = $414.

and the revenues are 23×18 = $414