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 find the number of miles driven on Alex's trip, we can create an equation based on the information provided:

- The shuttle charges a flat rate of $5.
- The shuttle also charges $1.50 per mile.
- Alex’s total cost was $41.

Let $ x $ represent the number of miles driven. The total cost of the trip is the flat rate plus the charge per mile, which gives us 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 $:
   \[
   x = \frac{36}{1.50}
   \]
   \[
   x = 24
   \]

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

Would you like further details or have any questions?

### Related Questions:
1. How would the equation change if the flat rate was $7 instead of $5?
2. If Alex's next trip is 30 miles, what will be the total cost?
3. How would you represent the cost function for the shuttle service algebraically?
4. What if the shuttle charged $2 per mile instead of $1.50, how many miles would the trip be?
5. How would the solution change if Alex’s total cost was $55 instead of $41?

### Tip:
Always isolate the variable by performing inverse operations in steps to maintain balance in the equation.

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.

Learn how to solve a real-life linear equation based on an airport shuttle service. Alex’s trip cost $41, including a flat rate of $5 and $1.50 per mile. Find the number of miles traveled using simple algebra. Suitable for students in Grades 6-8.

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