Tommy is organizing a field trip to Stars and Strikes Bowling with his friends.

Question

The budget for the event is $200. Stars and Strikes Bowling charges $15 per person for entrance and $20 per hour.

Let x represent the number of people attending and let y represent the number of hours spent.





Complete the statements below.

(1 point)
Write an inequality that represents this description.

Answer 1

To represent the budget constraints for the field trip to Stars and Strikes Bowling, we can set up an inequality based on the costs involved.

The total cost includes:

• The entrance fee for each person, which is $15 per person, hence it will be \(15x\) for \(x\) people.
• The hourly rate for the bowling, which is $20 per hour, hence it will be \(20y\) for \(y\) hours.

The total cost should not exceed the budget of $200. Therefore, the inequality representing this situation is:

\[ 15x + 20y \leq 200 \]

This inequality shows that the total expenses on entrance fees and bowling hours must be less than or equal to $200.