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.

Answer 1

To find the number of miles of Alex's trip, we can set up an equation based on the information given.

1. The cost of the trip includes a flat rate of $5 plus $1.50 for every mile driven.
2. Let \( x \) represent the number of miles driven.
3. The total cost of the trip is given as $41.

The equation to represent the total cost can be set up as follows:

\[
\text{Total Cost} = \text{Flat Rate} + (\text{Cost per Mile} \times \text{Number of Miles})
\]
Substituting the values, we have:

\[
41 = 5 + 1.50x
\]

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

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

\[
x = 24
\]

So, the number of miles of Alex’s trip is **24 miles**.