Jose started a small business and wants to determine when the business will become profitable. His operating costs can be expressed as y=$10,000+$3,000x, where x is the number of months he stays in business. His sales revenues can be expressed as y=$4,500x, where x is the number of months he stays in business.

Question

How many months will it take for his business to become profitable?

Answer 1

profitable means revenue exceeds costs
4500x > 10000+3000x
so solve for x, and that is how long it will take

Answer 2

The answer for this question, thanks to ooblecko chango, is 7 months.