Question

A pilot takes a taxi from the airport to a hotel. The driver charges a $3.50 initial charge plus $3 per mile. Which equation can be used to find y, the total of the trip, if x, represents the number of miles of the trip?

A. y = 3.50x + 3
B. y = 3(x + 3.50)
C. y = 3x + 3.50
D. y = 3x - 3.50

Answer 1

The correct equation for calculating the total cost of the taxi trip is y = 3x + 3.50, where x is the number of miles and y is the total cost.

Step-by-step explanation:

The question involves creating a linear equation to represent the total cost of a taxi trip. The driver's pricing structure includes a fixed initial charge and a variable charge based on the number of miles driven. According to the given information, the initial charge is $3.50, and the charge per mile is $3. Therefore, the equation to find y, the total cost of the trip (in dollars), as a function of x, the number of miles of the trip, would be y = 3x + 3.50. This equation reflects the $3.50 initial charge and the variable $3 charge for each mile traveled.