Cab companies often charge a flat fee for picking someone up and then charge an additional fee per mile driven.
The city of Raleigh, NC charges $1.95 fee and $2.70 per mile for each Cab ride.
For the Raleigh company write an equation in slope-intercept form to represent the amount charged, C, for m number of miles.
The equation for the amount charged by the cab company in slope-intercept form (y = mx + b) will represent the total cost, C, as a function of the number of miles, m.
The slope (m) represents the rate of change, which in this case is the cost per mile, and the y-intercept (b) represents the starting value, or the flat fee charged at the beginning of the ride.
Given the information:
Flat fee (y-intercept, b) = $1.95
Fee per mile (slope, m) = $2.70
The equation in slope-intercept form would be:
C = 2.70m + 1.95
Here, C is the total cost, m is the number of miles driven, 2.70 is the cost per mile, and 1.95 is the flat fee.