Final answer:
The seventh grade class needs to sell at least 67 tickets in order to raise at least $1000 for their variety show.
Step-by-step explanation:
To determine how many tickets the seventh grade class needs to sell in order to raise at least $1000, we can set up an inequality.
Let's assume they need to sell x tickets. The total revenue from ticket sales can be represented by the equation 15x, since each ticket costs $15. We want the total revenue to be at least $1000, so the inequality becomes 15x ≥ 1000.
To solve for x, we can divide both sides of the inequality by 15, giving us x ≥ 66.67.
Since you can't sell a fraction of a ticket, the seventh grade class needs to sell at least 67 tickets in order to raise at least $1000.