Question

PLZ HELP WITH QUESTION BELOW 73 POINTS

Julianne opens a dance studio her start up costs for the building advertising and supplies total is 52,000. each day, she spends 680 on operating costs. she earns 960 per day from her students lessons fees
part A write an equation or inequality to represent this situation. let d be the number of the days part B when will Julianne begin making a profit show all work and how you got to your answer

Answer 1

Start Cost= $52,000

She ends up spending $960 per day, so 680d (680 times per of days)

She then earns $960 per day, so 960d

Part A:

Part B:

960d (days) ≥ 52000 + 680d (days)

subtract (-) 680d from each sides

280d (days) ≥ 52000

divide (/) both sides by 280:

d: 52000 / 280 = 185.7, round it up to 188

it will equal 188 days to reach her profit.

Answer 2

Start up costs = $52,000

She spends $680 per day, so 680d ( 680 times number of days)

She earns $960 per day, so 960d

Part A: To calculate the number of days until she makes a profit, multiply the operating expenses per day and add to the start up costs. The amount she makes per day need to either be equal or greater than those costs:

960d ≥ 52000 + 680d

Part B:

960d ≥ 52000 + 680d

Subtract 680d from each side:

280d ≥ 52000

Divide both sides by 280:

d = 52000 / 280 = 185.7, round up to 188

It will take 188 days for her to see a profit.