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
8For the Raleigh company write an equation in point-slope form to represent the amount chargedCfor m number of miles for the company in RaleighNC
The equation in point-slope form to represent the amount charged for m number of miles by the cab company in Raleigh, NC would be:
y - y1 = m(x - x1)
where y represents the total amount charged, x represents the number of miles, and (x1, y1) represents a point on the line.
The given information tells us that the flat fee charged by the cab company is $1.95, which can be seen as the y-intercept of the line. Therefore, (0, 1.95) is a point on the line.
Additionally, the company charges an additional fee of $2.70 per mile driven, which can be seen as the slope of the line.
Using this information, we can write the equation as:
y - 1.95 = 2.70(x - 0)
Simplifying further:
y - 1.95 = 2.70x
Therefore, the equation in point-slope form to represent the amount charged for m number of miles by the cab company in Raleigh, NC is:
y - 1.95 = 2.70x