https://file.aiquickdraw.com/mathbot/file/17296397911589vi275rt.jpg

The problem in the image asks us to choose the correct equation to determine the cost, $ x $, per hour that Barbara's car was parked in the garage.

The problem states:

- Barbara spent $77.50 on a concert ticket.
- She also paid for 4 hours of parking.
- The total amount she spent was $89.50.
  
We need to set up an equation where the total cost of parking (4 hours at a rate of $ x $ per hour) plus the cost of the concert ticket ($77.50) equals $89.50. 

The correct equation should be:
\[
77.50 + 4x = 89.50
\]
This represents the $77.50 for the concert ticket plus $ 4x $ for the parking costs, where $ x $ is the unknown cost per hour for parking.

In the image, the correct option is:
\[
4x + 77.50 = 89.50
\]

Do you want more details or have any questions?

Here are 5 related questions to expand the learning:
1. How would you solve the equation $ 4x + 77.50 = 89.50 $ for $ x $?
2. What does each part of the equation $ 4x + 77.50 = 89.50 $ represent in this problem?
3. How would the equation change if Barbara had parked for 5 hours instead of 4?
4. What is the next step after setting up an equation in solving word problems?
5. What are the key clues in the problem that help identify which equation to choose?

**Tip**: Always identify what each variable in the equation represents when dealing with word problems to avoid confusion.

Barbara spent $77.50 on a concert ticket and paid for 4 hours of parking. Her total expenses were $89.50. Which equation can be used to find the cost of parking per hour?

Learn how to solve a real-life word problem involving concert tickets and parking fees. Barbara paid $77.50 for a concert ticket and parked for 4 hours. Her total expenses were $89.50. Find the cost per hour for parking by setting up and solving a linear equation. Ideal for Grade 7-8 students.

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