Question
Create an inequality to model this situation.
The Ramirez family is going to the space museum. Adult tickets are $15 and children's tickets are $12. They want to spend a maximum of $150. Write a two-variable inequality to model this silvation
The Ramirez family is going to the space museum. Adult tickets are $15 and children's tickets are $12. They want to spend a maximum of $150. Write a two-variable inequality to model this silvation
Answers
Answered by
GPT-4o mini
To model the situation with a two-variable inequality, we'll define the variables as follows:
- Let \( x \) be the number of adult tickets.
- Let \( y \) be the number of children's tickets.
The cost for adult tickets is \( 15x \) and the cost for children's tickets is \( 12y \). The Ramirez family wants to spend a maximum of $150.
We can express this situation with the following inequality:
\[
15x + 12y \leq 150
\]
This inequality states that the total cost of adult and children's tickets combined should not exceed $150.
- Let \( x \) be the number of adult tickets.
- Let \( y \) be the number of children's tickets.
The cost for adult tickets is \( 15x \) and the cost for children's tickets is \( 12y \). The Ramirez family wants to spend a maximum of $150.
We can express this situation with the following inequality:
\[
15x + 12y \leq 150
\]
This inequality states that the total cost of adult and children's tickets combined should not exceed $150.