Question
in took a taxi from his house to the airport. The taxi company charged a pick-up fee of $2.10 plus $4.75 per mile. The total fare was $116.10, not including the tip. Which equation could be used to determine mm, the number of miles in the taxi ride?
Answers
GPT-4o mini
To determine the equation that represents the total fare charged by the taxi company, we can set up an equation based on the components of the fare:
1. The pick-up fee is a fixed charge of $2.10.
2. The cost per mile is $4.75 multiplied by the number of miles \( m \).
So, the total fare can be expressed as:
\[
\text{Total Fare} = \text{Pick-up Fee} + (\text{Cost Per Mile} \times \text{Distance in Miles})
\]
Substituting the known values, we have:
\[
116.10 = 2.10 + 4.75m
\]
Therefore, the equation that could be used to determine \( m \), the number of miles in the taxi ride, is:
\[
116.10 = 2.10 + 4.75m
\]
1. The pick-up fee is a fixed charge of $2.10.
2. The cost per mile is $4.75 multiplied by the number of miles \( m \).
So, the total fare can be expressed as:
\[
\text{Total Fare} = \text{Pick-up Fee} + (\text{Cost Per Mile} \times \text{Distance in Miles})
\]
Substituting the known values, we have:
\[
116.10 = 2.10 + 4.75m
\]
Therefore, the equation that could be used to determine \( m \), the number of miles in the taxi ride, is:
\[
116.10 = 2.10 + 4.75m
\]