Question

Arianys took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.70 plus $1 per mile. The total fare was $19.70, not including the tip. Write and solve an equation which can be used to determine xx, the number of miles in the taxi ride.

Answer 1

To determine the number of miles \( x \) in Arianys's taxi ride, we can create an equation based on the information given.

The taxi fare is comprised of a pick-up fee plus a charge per mile. The total fare can be represented as:

\[
\text{Total Fare} = \text{Pick-up fee} + (\text{Cost per mile} \times \text{Number of miles})
\]

According to the problem:
- The pick-up fee is $1.70.
- The cost per mile is $1.00.
- The total fare is $19.70.

We can set up the equation as follows:

\[
19.70 = 1.70 + 1.00x
\]

Now, to solve for \( x \):

1. Subtract the pick-up fee from both sides:

\[
19.70 - 1.70 = 1.00x
\]

\[
18.00 = 1.00x
\]

2. Divide both sides by 1.00:

\[
x = 18.00
\]

So, the number of miles in the taxi ride is \( \boxed{18} \).