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
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apocritia apocritia · Answer 1 · 2018-10-04T03:28:03+02:00

Solution:

we are given that

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.

PartA:

If d be the number of days, thren we can write

[tex]z=960d-680d\\\\\text{where z is the profit of each day}\\[/tex]

PartB:

To make profit

[tex]960d-680d\geq 52000\\\\280d\geq 52000\\\\d\geq 185.71[/tex]

Julianne begin making profit after 186 days.