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joja [24]
2 years ago
12

there are 800 seats in the varsity theater. during regular preformances, all seats cost $12 each. It costs the owner $275 to pay

his preformers for each show. a: write an expression that could predict the owners profit if "n" people buy tickets for a preformance b: if the profit is $1,213, how many people attend? c: If the same number of people attended but the owner's expenses changed to $375, would the profit increase or decrease and by how much?
Mathematics
1 answer:
r-ruslan [8.4K]2 years ago
6 0

Answer:

The correct answers are the following:

A) <u>P=12n-275 </u>

B) <u>124 </u>

C) <u>Decrease by $100 </u>

Step-by-step explanation:

A) <u>P=12n-275 </u> - Each person (n) pays $12, then the cost/expense ($275) is subtracted from the income to get the profit.

B) <u>1,213=12n-275</u>  - Plug in the value for P ($1,213).

1,488=12n  - Add $275 to both sides.

124=n  - Divide both sides by $12.

<u>n=124 </u> - This the number (n) of people that attended.

C) <u>P=12n-375 </u> - Change the value for expense to $375.

P=12(124)-375  - Plug in the value for n (124).

P=1488-375  - Simplify and find the difference.

<u>P=1,113 </u> - This is your profit.

<u>1,113-1,213=-100 </u> - $100 reduction/decrease of profit (or -$100 to profit)

Hope this helps!

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