. 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

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stokholm stokholm · Answer 1 · 2018-09-30T11:10:09+02:00

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= [tex]680 d[/tex]

This cost will be added in her start up cost.

The earning for d days will be = [tex]960 d[/tex]

So, part A :

[tex]5200 + 680 d < 960 d[/tex]

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:

[tex]5200 + 680 d = 960 d[/tex]

Subtracting 680 d from both sides

[tex]5200 + 680 d - 680 d = 960 d - 680 d[/tex]

[tex]5200 = 280 d[/tex]

Dividing 280 in both sides

[tex]d = \frac{5200}{280}=18.6[/tex]

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

Hope it will help :)