he annual fixed costs of owning a small sedan are

​$4435

​, 

assuming the car is completely paid for. The cost to drive the car is approximately

​$0.19
 
per mile. Write a linear equation that relates the cost C and the number x of miles driven annually.

Question content area bottom

Part 1

Cequals

enter your response here

​(Use integers or decimals for any numbers in the expression. Do not include the​ $ symbol in your​ answer.)

To write a linear equation that relates the total annual cost $ C $ and the number of miles $ x $ driven annually, we need to consider both the fixed costs and the variable costs.

### Given Information
- Annual fixed costs: $4435
- Variable cost per mile: $0.19

### Linear Equation
The total cost $ C $ is the sum of the fixed costs and the variable costs (which depend on the number of miles driven $ x $).

\[ C = \text{Fixed Costs} + (\text{Cost per Mile} \times \text{Number of Miles}) \]

Substituting the given values:

\[ C = 4435 + 0.19x \]

### Final Linear Equation
\[ C = 4435 + 0.19x \]

Would you like more details or have any questions?

Here are 5 more questions you might want to ask:
1. How do you find the break-even point for this cost equation?
2. What is the total cost if you drive 10,000 miles annually?
3. How do you interpret the slope and y-intercept in the context of this problem?
4. How would the equation change if the variable cost per mile increased to $0.25?
5. Can you graph this linear equation and explain its components?

**Tip:** When writing linear equations, always identify and clearly separate the fixed and variable components to simplify the problem-solving process.

Learn how to write a linear equation for annual car costs based on fixed and variable expenses. This problem involves calculating total costs using given fixed costs of $4435 and a variable cost of $0.19 per mile. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation