Question

I WILL GIVE BRAINLIEST AND FIVE STAR
The Movie Tavern sells matinee tickets for $6.50 per person and at noon they had already sold 50 tickets. Give a function where it represents the total amount of money earned from movie tickets on a weekday afternoon (after noon), if x represents number of people buying tickets. If the theater holds 200 people, and is 60% full how many tickets were sold (excluding the money before noon) and how much money did they take in?

Answer 1

Answer:

Step-by-step explanation:

Let x represent the total number of people buying tickets.

If by noon, they have sold 50 tickets, it means that the number of tickets that were sold after noon is x - 50. The Movie Tavern sells matinee tickets for $6.50 per person. The function representing the total amount of money earned from movie tickets on a weekday after noon is

6.5(x - 50)

If the theater holds 200 people, and is 60% full, then the number of tickets that were sold (excluding the money before noon) is

60/100 × 200 = 120 tickets

Therefore, x = 120

If we exclude the number sold before noon, then the number of tickets sold after noon is

120 - 50 = 70

Therefore, the amount of money that they took in after noon is

6.5 × 70 = $455