Question

@ai solve this
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.

x +
=


The trip was
miles.

Answer 1

To solve this problem, we can write an equation based on the information given.

Let \( x \) represent the number of miles driven. The total cost of the trip can be expressed as:

\[
\text{Total Cost} = \text{Flat Rate} + \text{Cost per Mile} \times \text{Number of Miles}
\]

According to the problem:

- The flat rate is $5.
- The cost per mile is $1.50.
- The total cost of the trip is $41.

We can set up the equation:

\[
41 = 5 + 1.50x
\]

Now, we will solve for \( x \):

1. Subtract the flat rate from both sides:

\[
41 - 5 = 1.50x
\]

\[
36 = 1.50x
\]

2. Now, divide both sides by 1.50 to isolate \( x \):

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

Calculating the division:

\[
x = 24
\]

So, the trip was **24 miles**.