The cost of making 6 tables is $530. The cost of making 25 tables is $1,100. Assume this is a linear relationship. What is the cost per table? Write a linear equation that tells you the total cost, C, of making x tables: C = Preview What is the total cost of making 22 tables? $

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
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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**Cost Analysis and Linear Equation Formulation**

**Problem Statement:**

The cost of making 6 tables is $530. The cost of making 25 tables is $1,100. Assume this is a linear relationship.

**Questions:**

1. **What is the cost per table?**  
   (Input box for calculation)

2. **Write a linear equation that tells you the total cost, \( C \), of making \( x \) tables:**  
   \( C = \) (Input box for equation)  
   (Preview button)

3. **What is the total cost of making 22 tables?**  
   $ (Input box for total cost)

**Explanation:**

To solve this problem, you need to determine the cost per table by using two points: the cost of 6 tables ($530) and the cost of 25 tables ($1,100). These points can help you establish a linear equation for the cost in terms of the number of tables. After deriving the equation, use it to calculate the cost for any number of tables, such as 22 in this case.
Transcribed Image Text:**Cost Analysis and Linear Equation Formulation** **Problem Statement:** The cost of making 6 tables is $530. The cost of making 25 tables is $1,100. Assume this is a linear relationship. **Questions:** 1. **What is the cost per table?** (Input box for calculation) 2. **Write a linear equation that tells you the total cost, \( C \), of making \( x \) tables:** \( C = \) (Input box for equation) (Preview button) 3. **What is the total cost of making 22 tables?** $ (Input box for total cost) **Explanation:** To solve this problem, you need to determine the cost per table by using two points: the cost of 6 tables ($530) and the cost of 25 tables ($1,100). These points can help you establish a linear equation for the cost in terms of the number of tables. After deriving the equation, use it to calculate the cost for any number of tables, such as 22 in this case.
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