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 work

Answer 1

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

`z=960d-680d\\\\\text{where z is the profit of each day}\\`

PartB:

To make profit

`960d-680d\geq 52000\\\\280d\geq 52000\\\\d\geq 185.71`

Julianne begin making profit after 186 days.