Question

Your school is trying to raise money for fun activities! Their goal is to raise at least $5,000. They're holding multiple lip sync battle concerts. The school decides to sell tickets for a fair price of $15 each. For each concert, they will have to pay $200 for the winners of the lip sync battle. Write an inequality to represent the constraints in this situation.

Answer 1

The inequality to represent the school's fundraising goal through lip sync battle concerts, with $15 per ticket and a $200 prize per concert, is 15x - 200y ≥ 5000, where x is the tickets sold and y is the concerts held.

Step-by-step explanation:

To write an inequality representing the constraints for the school's fundraising goal through lip sync battle concerts, we need to consider the revenue from ticket sales and the cost of the prize for each concert. The school needs to raise at least $5,000 and each ticket is sold for $15. For every concert, there is a $200 prize to pay for.

The inequality to model this scenario would be: 15x - 200y ≥ 5000, where x is the number of tickets sold and y is the number of concerts held.

This inequality states that the total income from selling tickets (represented by 15x), minus the total cost of the winners' prizes for each concert (represented by 200y), must be at least $5,000.