Question

What are are the variable, equation, and inequality for this question?

A rental car company charges $50 plus $0.20 per mile to rent a car. Marissa must spend less than $184.60. How many miles can Marissa drive the car?

Answer 1

To analyze the situation, we need to identify the variable, formulate an equation, and establish an inequality based on the information provided.

### Variable:
Let's define the variable:
- Let \( x \) represent the number of miles Marissa drives the car.

### Equation:
The total cost \( C \) for renting the car can be expressed as:
\[
C = 50 + 0.20x
\]
where:
- \( 50 \) is the fixed rental fee,
- \( 0.20x \) is the cost for driving \( x \) miles.

### Inequality:
According to the problem, Marissa wants to spend less than $184.60. Therefore, we can set up the following inequality:
\[
50 + 0.20x < 184.60
\]

### Summary:
- Variable: \( x \) (number of miles driven)
- Equation: \( C = 50 + 0.20x \)
- Inequality: \( 50 + 0.20x < 184.60 \)

From the inequality, we can solve for \( x \) to determine the maximum number of miles Marissa can drive.