An airport shuttle charges a $5 flat rate plus $1.50 per mile driven. Alex’s last trip to the airport cost $41. Write and solve an equation to find the number of miles of Alex’s trip.

Let $ x $ represent the number of miles of Alex’s trip to the airport. The total cost of the trip is made up of a flat rate of $5 plus $1.50 per mile driven.

We can express this relationship with the following equation:

\[
5 + 1.50x = 41
\]

### Solving the equation:

1. Subtract 5 from both sides to isolate the term with $ x $:

\[
1.50x = 41 - 5
\]

\[
1.50x = 36
\]

2. Divide both sides by 1.50 to solve for $ x $:

\[
x = \frac{36}{1.50} = 24
\]

Thus, Alex's trip to the airport was **24 miles**.

Would you like further clarification or additional details?

Here are 5 related questions:
1. How would the equation change if the flat rate increased to $10?
2. What would the total cost be if Alex's trip were 30 miles long?
3. How can you represent the cost as a function of miles driven?
4. What would be the total cost for a 15-mile trip?
5. How does the cost per mile affect the total cost of the trip?

**Tip:** Always check your solution by plugging it back into the original equation to ensure it satisfies the conditions.

Learn how to solve a linear equation to find the number of miles driven when an airport shuttle charges a $5 flat rate plus $1.50 per mile, with a total trip cost of $41. This problem covers key algebraic concepts for students in Grades 6-8.

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