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 $\boxed{{\displaystyle 18}}$.