Question

Olivia is buying tickets for a concert and T-shirts as souvenirs. She wants to spend at least $75.

If tickets cost $20 each and T-shirts cost $15 each, which inequality represents all possible combinations of x tickets and y T-shirts?

Answer 1

The inequality 20x + 15y ≥ 75 represents all possible combinations of x tickets and y T-shirts for Olivia.

Step-by-step explanation:

In order to represent the combinations of tickets and T-shirts, we need to set up an inequality. Let x represent the number of tickets and y represent the number of T-shirts.

The cost of x tickets is 20x dollars and the cost of y T-shirts is 15y dollars. In order to spend at least $75, we can set up the following inequality: 20x + 15y ≥ 75.

This inequality represents all possible combinations of x tickets and y T-shirts that would meet Olivia's spending goal of at least $75.