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jeka57 [31]
3 years ago
7

Julianne opens a dance studio. Her start-up costs for the building, advertising, and supplies $52,000. Each day, she spends $650

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 answer.

Answer:
Mathematics
1 answer:
amid [387]3 years ago
8 0

<u>Answer-</u>

The equation is 960d-650d = 52000 and Julianne will begin making a profit after 168 days.

<u>Solution-</u>

Julianne's start-up cost = $52,000,

Each day, she spends = $650,

and she earns = $960 per day,

If 'd' is the number of days to overcome the start-up and daily operation cost, then  

total operation cost of d days = $650d and  

total student lesson fees earned in d days = $960d

∴ The equation to represent the situation is,

960d-650d = 52000

∴ Julianne will begin making a profit,

\Rightarrow 960d-650d \geq 52000

\Rightarrow 310d \geq 52000

\Rightarrow d \geq \frac{52000}{310} =167.74 \approx168(ans)





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