Question

It costs the theater $750 to put on each performance. If tickets are $8 each, how many tickers must they sell for their next performance to profit at least $1,200?

Give inequality statement for the problem please :)

Answer 1

The theater must sell at least 244 tickets to profit at least $1,200. This is determined by setting up the inequality 8x ≥ 1,950, where x is the number of tickets sold and solving for x.

Step-by-step explanation:

To determine how many tickets the theater must sell to profit at least $1,200, we need to set up an inequality. Let's denote the number of tickets that need to be sold as x.

The cost to put on each performance is $750, and the income from selling x tickets at $8 each is 8x. To achieve a profit of at least $1,200, the income from ticket sales must be at least the sum of the cost to put on the show ($750) and the desired profit ($1,200). This gives us the following inequality:

8x ≥ 750 + 1,200

If we simplify the inequality by combining the costs and desired profit, we get:

8x ≥ 1,950

Now we solve for x by dividing both sides of the inequality by 8:

x ≥ 243.75

Since we cannot sell a fraction of a ticket, the theater must sell at least 244 tickets to make a profit of at least $1,200.

Answer 2

244

Step-by-step explanation:

To profit at least $1,200 they need to make $1,950 dollars in total. If tickets are 8$ we have to find how much $1950 / $8 in which the answer is 243.75 meaning that the theater has to sell 244 tickets and the inequality is 0.25.