Question

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?

Answer 1

The correct answers are the following:

A) P=12n-275

B) 124

C) Decrease by $100

Explanation:

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

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

1,488=12n - Add $275 to both sides.

124=n - Divide both sides by $12.

n=124 - This the number (n) of people that attended.

C) P=12n-375 - 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.

P=1,113 - This is your profit.

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

Hope this helps!