9. Writing Linear Equations Paul works as car salesman at a car dealership. Hector has already sold 12 Ford Mustang. He would like to sell 3 cars a week. Write a linear equation for the total number of cars Hector would like to sell each week. How many cars will he sell in 16 weeks?

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The image contains four problems focused on writing linear equations, with each problem requiring the formulation of an equation based on the given scenario. Below is a transcription and explanation of each problem:

---

**9. Writing Linear Equations**

Problem:
Paul works as a car salesman at a car dealership. Hector has already sold 12 Ford Mustangs. He would like to sell 3 cars a week. Write a linear equation for the total number of cars Hector would like to sell each week.

Question:
How many cars will he sell in 16 weeks?

**Answer:**  
[Box for answer]

---

**10. Writing Linear Equations**

Problem:
A ghost lives at San Jacinto High School. He likes to scare 6 people per hour. Today, this ghost has scared 14 people. Write a linear equation to indicate the total amount of people this ghost has scared.

Question:
If he scared 74 people, how many hours did he spend scaring people?

**Answer:**  
[Box for answer]

---

**11. Writing Linear Equations**

Problem:
SkatePark has just announced that they are making a club for amateur skaters. The cost for the members is as follows: an initial fee of $30 and $25 per month to be able to access the SkatePark at any time. Write a linear equation to indicate the total amount being charged to use the SkatePark at any time.

Question:
How much would it cost to be able to access the park for 11 months?

**Answer:**  
[Box for answer]

---

**12. Writing Linear Equations**

Problem:
Paintball City is having a special promotion! They will charge you only $10 for a one-time fee and $25 per month. This will allow you to use the premises during any hour of the day and night until they close. Write a linear equation to indicate how much money is required to have membership at Paintball City.

Question:
If they spent $385, how many months did they have a membership at Paintball City?

**Answer:**  
[Box for answer]

---
Transcribed Image Text:The image contains four problems focused on writing linear equations, with each problem requiring the formulation of an equation based on the given scenario. Below is a transcription and explanation of each problem: --- **9. Writing Linear Equations** Problem: Paul works as a car salesman at a car dealership. Hector has already sold 12 Ford Mustangs. He would like to sell 3 cars a week. Write a linear equation for the total number of cars Hector would like to sell each week. Question: How many cars will he sell in 16 weeks? **Answer:** [Box for answer] --- **10. Writing Linear Equations** Problem: A ghost lives at San Jacinto High School. He likes to scare 6 people per hour. Today, this ghost has scared 14 people. Write a linear equation to indicate the total amount of people this ghost has scared. Question: If he scared 74 people, how many hours did he spend scaring people? **Answer:** [Box for answer] --- **11. Writing Linear Equations** Problem: SkatePark has just announced that they are making a club for amateur skaters. The cost for the members is as follows: an initial fee of $30 and $25 per month to be able to access the SkatePark at any time. Write a linear equation to indicate the total amount being charged to use the SkatePark at any time. Question: How much would it cost to be able to access the park for 11 months? **Answer:** [Box for answer] --- **12. Writing Linear Equations** Problem: Paintball City is having a special promotion! They will charge you only $10 for a one-time fee and $25 per month. This will allow you to use the premises during any hour of the day and night until they close. Write a linear equation to indicate how much money is required to have membership at Paintball City. Question: If they spent $385, how many months did they have a membership at Paintball City? **Answer:** [Box for answer] ---
### Writing Linear Equations: Problem Descriptions

**Problem 13:**
Fortnite gamers can purchase a monthly pass for $29.99 per month. Gamers will receive 3 hours of assistance in developing their skills for the game. Write a linear equation indicating how much this company will charge you for membership, on a monthly basis.

- **Question:** How much would it cost for 9 months?  
- **Hint:** Create an equation for monthly cost.

**Problem 14:**
Tonka Toy Trucks can be assembled very quickly. Each Tonka Toy Truck can be assembled in 5 minutes. The production line has already assembled 100 Tonka Toy Trucks. Write a linear equation for the number of Tonka Toy Trucks they have in stock and how many they will assemble each hour.

- **Question:** If there were 280 Tonka Toy Trucks assembled, how many hours did it take for them to be assembled?  
- **Hint:** 12 trucks assembled per hour.

**Problem 15:**
Adam just received a letter from a Trucking Company. His pay will include a bonus of $450 and $0.40 per mile that he drives his truck. Write a linear equation indicating the total amount of pay he will receive from the Trucking Company.

- **Question:** If it cost $460, how many miles did he drive his truck?  
- **Hint:** Include bonus and mileage rate in the equation.

**Problem 16:**
Plumbers R Us will charge an initial fee of $69 and $25 per hour to do plumbing at a residential home. Write a linear equation for the total Plumbers R Us charges for plumbing services.

- **Question:** How much would it cost for Plumbers R Us to work 33 hours?  
- **Hint:** Consider the initial fee and hourly rate in your equation. 

These problems involve developing linear equations to solve practical scenarios involving cost and time. Each question includes a real-world application of linear functions, encouraging students to translate written descriptions into mathematical equations.
Transcribed Image Text:### Writing Linear Equations: Problem Descriptions **Problem 13:** Fortnite gamers can purchase a monthly pass for $29.99 per month. Gamers will receive 3 hours of assistance in developing their skills for the game. Write a linear equation indicating how much this company will charge you for membership, on a monthly basis. - **Question:** How much would it cost for 9 months? - **Hint:** Create an equation for monthly cost. **Problem 14:** Tonka Toy Trucks can be assembled very quickly. Each Tonka Toy Truck can be assembled in 5 minutes. The production line has already assembled 100 Tonka Toy Trucks. Write a linear equation for the number of Tonka Toy Trucks they have in stock and how many they will assemble each hour. - **Question:** If there were 280 Tonka Toy Trucks assembled, how many hours did it take for them to be assembled? - **Hint:** 12 trucks assembled per hour. **Problem 15:** Adam just received a letter from a Trucking Company. His pay will include a bonus of $450 and $0.40 per mile that he drives his truck. Write a linear equation indicating the total amount of pay he will receive from the Trucking Company. - **Question:** If it cost $460, how many miles did he drive his truck? - **Hint:** Include bonus and mileage rate in the equation. **Problem 16:** Plumbers R Us will charge an initial fee of $69 and $25 per hour to do plumbing at a residential home. Write a linear equation for the total Plumbers R Us charges for plumbing services. - **Question:** How much would it cost for Plumbers R Us to work 33 hours? - **Hint:** Consider the initial fee and hourly rate in your equation. These problems involve developing linear equations to solve practical scenarios involving cost and time. Each question includes a real-world application of linear functions, encouraging students to translate written descriptions into mathematical equations.
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