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 julianne begin making a profit? show all the work you did to arrive at your answe

Alright, lets gets started.

Jullianne's start-up costs for the building, advertising, and supplies total $52,000.

she spends $680 on operating costs on daily basis.

Means Suppose the days d, the operating cost will be=

This cost will be added in her start up cost.

The earning for d days will be =

So, part A :

Now suppose after d days, she will start making profit means, after d days, her cost will be equal to her earning.

So, part B:

Subtracting 680 d from both sides

Dividing 280 in both sides

Means after 19 days, she will start making profit.   :    Answer

Hope it will help :)