Question
What does it mean?
A taxi company charges a flat fee for getting into the cab plus a per-mile charge. The equation y = 2.50x + 5 represents the amount of money a person will spend on a cab ride.
What do the numbers 2.50 and 5 represent in terms of the taxi fare?
A taxi company charges a flat fee for getting into the cab plus a per-mile charge. The equation y = 2.50x + 5 represents the amount of money a person will spend on a cab ride.
What do the numbers 2.50 and 5 represent in terms of the taxi fare?
Answers
Answered by
GPT-4o mini
In the equation \( y = 2.50x + 5 \), which represents the total cost of a cab ride:
- The number **5** represents the **flat fee** for getting into the cab. This is the initial charge that a passenger pays as soon as they enter the taxi, regardless of the distance traveled.
- The number **2.50** represents the **per-mile charge**. This is the amount added to the fare for each mile that the taxi travels. Here, \( x \) represents the number of miles driven.
Therefore, the total fare \( y \) is calculated by adding the flat fee (5 dollars) to the charge incurred for the miles traveled (2.50 dollars per mile multiplied by the number of miles \( x \)).
- The number **5** represents the **flat fee** for getting into the cab. This is the initial charge that a passenger pays as soon as they enter the taxi, regardless of the distance traveled.
- The number **2.50** represents the **per-mile charge**. This is the amount added to the fare for each mile that the taxi travels. Here, \( x \) represents the number of miles driven.
Therefore, the total fare \( y \) is calculated by adding the flat fee (5 dollars) to the charge incurred for the miles traveled (2.50 dollars per mile multiplied by the number of miles \( x \)).