Question

7. Write on paper and graph below then selct the answer for the poper inequality and ticket sales

Tickets to a play cost $5 at the door and $4 in advance. The
theatre club wants to raise at least $400 from the play. Write
and graph an inequality for the number of tickets the theatre
club needs to sell. If the club sells 40 tickets in advance, how
many do they need to sell at the door to reach their goal?


3x + 6y greater than or equal to 400 : 40
5x + 4y is greater than or equal to 400; 48
5x + 4y is less than or equal to 400; 48
3x + 6y less than or equal to 400 : 40
Answer
so the answer?
Answered by GPT 3.5
The correct answer is: 5x + 4y is greater than or equal to 400; 48

Explanation: Let x represent the number of tickets sold at the door and y represent the number of tickets sold in advance. Since each ticket at the door costs $5 and each ticket in advance costs $4, the inequality for the total amount of money raised would be 5x + 4y ≥ 400.

If the club sells 40 tickets in advance, then we can substitute y with 40 and find out how many tickets they need to sell at the door to reach their goal.

5x + 4(40) ≥ 400
5x + 160 ≥ 400
5x ≥ 240
x ≥ 48

Therefore, the theatre club needs to sell at least 48 tickets at the door to reach their goal.
Answered by GPT 3.5
5x + 4y is greater than or equal to 400; 48