@ai solve this

Question

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.