The Cost Of Performance Tickets And Beverages For A Family Of Four Can Be Modeled Using The Equation 4 X + 12 = 48 4x + 12 = 48 4 X + 12 = 48 , Where X X X Represents The Cost Of A Ticket. How Much Is One Ticket?A. $3.00 B. $4.00 C. $9.00

Introduction

When planning a family outing to a performance, one of the key expenses to consider is the cost of tickets and beverages. In this article, we will explore a mathematical model that can help us estimate the total cost of these expenses for a family of four. The model is based on the equation $4x + 12 = 48$, where $x$ represents the cost of a ticket. Our goal is to solve for $x$ and determine the cost of one ticket.

The Mathematical Model

The equation $4x + 12 = 48$ represents the total cost of tickets and beverages for a family of four. The cost of a ticket is represented by the variable $x$, and the cost of beverages is represented by the constant term $12$. The coefficient $4$ represents the number of tickets purchased by the family.

To solve for $x$, we can use the following steps:

1. Subtract $12$ from both sides of the equation: $4x = 48 - 12$
2. Simplify the right-hand side of the equation: $4x = 36$
3. Divide both sides of the equation by $4$: $x = 36/4$

Solving for x

Now that we have the equation $x = 36/4$, we can solve for $x$ by dividing $36$ by $4$. This gives us:

$x = 9$

Therefore, the cost of one ticket is $$9.00$.

Discussion

The cost of performance tickets and beverages can be a significant expense for families. By using a mathematical model like the one presented in this article, we can estimate the total cost of these expenses and make informed decisions about our budget.

In this case, the equation $4x + 12 = 48$ represents the total cost of tickets and beverages for a family of four. By solving for $x$, we can determine the cost of one ticket, which is $$9.00$. This information can be useful for families planning a performance outing and wanting to estimate their expenses.

Conclusion

In conclusion, the cost of performance tickets and beverages for a family of four can be modeled using the equation $4x + 12 = 48$. By solving for $x$, we can determine the cost of one ticket, which is $$9.00$. This information can be useful for families planning a performance outing and wanting to estimate their expenses.

Additional Considerations

When planning a performance outing, there are several other expenses to consider in addition to the cost of tickets and beverages. These may include:

• Food: The cost of food can vary widely depending on the type of food and the location of the performance. Families may want to consider packing snacks or meals to save money.
• Transportation: The cost of transportation to and from the performance can also be a significant expense. Families may want to consider carpooling or using public transportation to save money.
• Merchandise: Some performances may offer merchandise for sale, such as t-shirts or souvenirs. Families may want to consider budgeting for these expenses in addition to the cost of tickets and beverages.

Real-World Applications

The mathematical model presented in this article has several real-world applications. For example:

• Event planning: The equation $4x + 12 = 48$ can be used to estimate the total cost of tickets and beverages for a family of four attending a performance.
• Budgeting: The cost of one ticket, which is $$9.00$, can be used to estimate the total cost of tickets and beverages for a family of four.
• Financial planning: The equation $4x + 12 = 48$ can be used to estimate the total cost of tickets and beverages for a family of four, which can be useful for financial planning purposes.

Conclusion

Introduction

In our previous article, we explored a mathematical model that can help us estimate the total cost of tickets and beverages for a family of four attending a performance. The model is based on the equation $4x + 12 = 48$, where $x$ represents the cost of a ticket. Our goal is to solve for $x$ and determine the cost of one ticket.

In this article, we will answer some frequently asked questions (FAQs) related to the cost of performance tickets and beverages.

Q&A

Q: What is the cost of one ticket?

A: The cost of one ticket is $$9.00$.

Q: How did you arrive at this cost?

A: We used the equation $4x + 12 = 48$ to solve for $x$. By subtracting $12$ from both sides of the equation, we got $4x = 36$. Then, by dividing both sides of the equation by $4$, we got $x = 9$.

Q: What other expenses should I consider when planning a performance outing?

A: In addition to the cost of tickets and beverages, you should also consider the cost of food, transportation, and merchandise.

Q: How can I estimate the total cost of tickets and beverages for a family of four?

A: You can use the equation $4x + 12 = 48$ to estimate the total cost of tickets and beverages for a family of four. Simply substitute the cost of one ticket ($x$) into the equation and solve for the total cost.

Q: What if I have a larger or smaller family?

A: If you have a larger or smaller family, you can adjust the equation $4x + 12 = 48$ accordingly. For example, if you have a family of three, you can use the equation $3x + 12 = 36$. If you have a family of five, you can use the equation $5x + 12 = 60$.

Q: Can I use this equation to estimate the cost of tickets and beverages for a different type of performance?

A: Yes, you can use this equation to estimate the cost of tickets and beverages for a different type of performance. However, you will need to adjust the equation to reflect the specific costs associated with that type of performance.

Q: What if I want to save money on tickets and beverages?

A: There are several ways to save money on tickets and beverages. You can consider purchasing tickets in advance, using coupons or discounts, or packing your own snacks and meals.

Conclusion

In conclusion, the cost of performance tickets and beverages for a family of four can be modeled using the equation $4x + 12 = 48$. By solving for $x$, we can determine the cost of one ticket, which is $$9.00$. This information can be useful for families planning a performance outing and wanting to estimate their expenses. We hope this Q&A article has provided you with the information you need to plan a successful and budget-friendly performance outing.

Additional Resources

• Mathematical model: The equation $4x + 12 = 48$ can be used to estimate the total cost of tickets and beverages for a family of four.
• Budgeting: The cost of one ticket, which is $$9.00$, can be used to estimate the total cost of tickets and beverages for a family of four.
• Financial planning: The equation $4x + 12 = 48$ can be used to estimate the total cost of tickets and beverages for a family of four, which can be useful for financial planning purposes.

Real-World Applications

• Event planning: The equation $4x + 12 = 48$ can be used to estimate the total cost of tickets and beverages for a family of four attending a performance.
• Budgeting: The cost of one ticket, which is $$9.00$, can be used to estimate the total cost of tickets and beverages for a family of four.
• Financial planning: The equation $4x + 12 = 48$ can be used to estimate the total cost of tickets and beverages for a family of four, which can be useful for financial planning purposes.