Question

. 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

Answer 1

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=
`680 d`

This cost will be added in her start up cost.

The earning for d days will be =
`960 d`

So, part A :

`5200 + 680 d < 960 d`

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:

`5200 + 680 d = 960 d`

Subtracting 680 d from both sides

`5200 + 680 d - 680 d = 960 d - 680 d`

`5200 = 280 d`

Dividing 280 in both sides

`d = (5200)/(280)=18.6`

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

Hope it will help :)