## Julianne opens a dance studio. Her start-up costs for the building, advertising, and supplies total $52,000. Each day, she spends $680 on op

Julianne opens a dance studio. Her start-up costs for the building, advertising, and supplies total $52,000. Each day, she spends $680 on operating costs (like utilities and wages). She earns $960 per day from her students’ lesson fees. Part A: Write an equation or inequality to represent this situation. Let d be the number of days. Part B: When will lulianne begin making a profit? Show all the work you did to arrive at your answer

## Answers ( No )

Answer-Solution-Julianne’s start-up cost = $52,000

Daily operating costs = $680

Daily earnings = $960

And the number of days = d

The inequality that represents this situation,

⇒

In order to be in profit, she must surplus the initial investment and the daily expenses. The time taken by her to be in profit,

⇒

∴ So after 186 days of starting the business, she will start making profits.