Question

PLEASE HELP!!! 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

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

$d = \frac{5200}{280}=18.6$

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

Hope it will help :)