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.

To solve this problem, we need to set up an equation based on the given information:

1. The shuttle charges a **$5 flat rate**.
2. The shuttle charges an additional **$1.50 per mile**.
3. Alex's total cost for the trip was **$41**.

Let $ x $ represent the number of miles driven. The total cost equation can be written as:

\[
\text{Total cost} = 5 + 1.50x
\]

Since the total cost is $41, we substitute into the equation:

\[
41 = 5 + 1.50x
\]

Now, solve for $ x $:

1. Subtract 5 from both sides:

\[
41 - 5 = 1.50x
\]

\[
36 = 1.50x
\]

2. Divide both sides by 1.50:

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

\[
x = 24
\]

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

Would you like more details or have any questions? Here are 5 related questions you might find interesting:

1. How would the equation change if the flat rate increased to $10?
2. If Alex’s trip was 30 miles long, how much would the trip cost?
3. What if the per-mile charge was reduced to $1.25 but the total cost stayed the same?
4. How would the total cost be affected if Alex traveled 50 miles instead?
5. If Alex had a discount that reduced the flat rate by $3, what would the new equation be?

**Tip:** When solving equations involving multiple steps, it's helpful to perform operations step by step to avoid mistakes!

Learn how to solve a linear equation to find the number of miles driven when an airport shuttle charges a flat rate of $5 plus $1.50 per mile, and the total trip cost is $41. Suitable for students in Grades 6-8.

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