https://file.aiquickdraw.com/mathbot/file/17264475547911sf2c7xt.jpg

We are given that Linda has 13 cars available, and we need to find the number of cars **C** left after renting **R** cars. The relationship between **C** and **R** is straightforward.

### Step 1: Write the equation
Since Linda starts with 13 cars and rents **R** of them, the number of cars left, **C**, would be:

\[
C = 13 - R
\]

This equation shows that for every car rented (represented by **R**), the number of cars remaining (**C**) decreases.

### Step 2: Graphing the equation
To graph the equation \( C = 13 - R \), we need a set of points. The equation represents a straight line where:

- When **R** = 0 (no cars rented), **C** = 13 (all cars remain).
- When **R** = 1, **C** = 12.
- When **R** = 13, **C** = 0 (all cars are rented).

These points give us a line with a slope of -1, indicating that for every increase of 1 in **R**, **C** decreases by 1.

Would you like help with graphing this equation, more details, or further explanations?

Here are 5 relative questions you might consider:

1. What happens to **C** when **R** exceeds 13?
2. How do you find the slope from the equation \( C = 13 - R \)?
3. What is the significance of the intercept in the graph of this equation?
4. How would you modify the equation if Linda initially had 20 cars instead of 13?
5. Can you describe how the graph of this linear equation would look?

**Tip:** When graphing linear equations, always identify the y-intercept and slope first to make plotting easier.

Linda has 13 cars available to rent. Let C be the number of cars she would have left after renting R of them. Write an equation relating C to R. Then graph your equation using the axes below.

Learn how to write and graph a linear equation representing the number of cars left after renting. This problem covers key algebraic concepts and includes a step-by-step solution. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation