Question

REASONING A student theater charges $9.50 per ticket.

The theater has already sold 70 tickets. Write and solve an inequality
that represents how many more tickets the theater needs to sell to
earn at least $1000.
D. The theater increases the ticket price by $1. Without solving an
inequality, describe how this affects the total number of tickets
needed to earn at least $1000

Answer 1

Explanation:

To earn at least $1000, the theater needs to sell at least 1000 / 9.50 = 105.7 tickets.

To express this as an inequality, we can say that the number of tickets x that the theater needs to sell must be greater than or equal to 105.7. This can be written as:

`x ≥ 105.7`

If the theater increases the ticket price by $1, the total number of tickets needed to earn at least $1000 would increase. This is because the theater would need to sell more tickets to make up for the increase in price. The number of tickets needed to earn at least $1000 would be higher than 105.7. However, it is not possible to determine the exact number of tickets needed without solving the inequality.