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The problem asks: if Michelle has $40 to spend on renting a car, and the rental company charges a flat rate of $18.95 plus 15 cents per mile, how many miles can she drive without exceeding her budget?

We can set up the following equation:

\[
18.95 + 0.15x \leq 40
\]

Where:
- 18.95 is the flat fee,
- 0.15 is the charge per mile,
- $ x $ is the number of miles she can drive.

### Let's solve for $ x $:

\[
18.95 + 0.15x = 40
\]
\[
0.15x = 40 - 18.95
\]
\[
0.15x = 21.05
\]
\[
x = \frac{21.05}{0.15} \approx 140.33
\]

Rounding to the nearest whole number, Michelle can drive **140 miles**.

Would you like more details or have any questions?

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Here are 5 related questions to further your understanding:

1. How would the number of miles change if the rental rate per mile increased to 20 cents?
2. What if Michelle only had $30 to spend? How many miles could she drive then?
3. How would you set up the equation if the flat rental fee was $25 instead of $18.95?
4. If Michelle drove 100 miles, how much would she spend in total?
5. What would the maximum miles be if the rental company charged a percentage tax on the total cost?

**Tip:** Always round to the nearest whole number when dealing with practical problems involving people or items!

Michelle needs to rent a car while on vacation. The rental company charges $18.95, plus 15 cents for each mile driven. If Michelle only has $40 to spend on the car rental, what is the maximum number of miles she can drive?

Calculate the maximum number of miles Michelle can drive given a rental fee of $18.95 plus 15 cents per mile. This problem covers linear equations and inequalities, ideal for students in grades 8-10.

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