Jayden took a taxi from his house to the airport. The taxi company charged a pick-up fee of $4.10 plus $4.25 per mile. The total fare was $101.85, not including the tip. Which equation could be used to determine mm, the number of miles in the taxi ride?

Question

Answer

Answer 1

To determine the number of miles \( m \) in the taxi ride, we can set up an equation based on the cost structure provided by the taxi company.

The total cost of the taxi ride consists of the pick-up fee and the charge per mile. According to the information given, the pick-up fee is $4.10, and the taxi charges $4.25 per mile.

The equation representing the total fare can be expressed as:

\[ \text{Total Fare} = \text{Pick-up Fee} + (\text{Cost per Mile} \times \text{Number of Miles}) \]

Substituting the given values into the equation results in:

\[ 101.85 = 4.10 + 4.25m \]

This equation can be used to determine \( m \), the number of miles in the taxi ride.