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. 8. For the Raleigh company write an equation in point-slope form to represent the amount charged, C, for m number of miles for the company in Raleigh, NC.
To write the equation in point-slope form, we need to determine the slope and a specific point on the line.
Given:
- Flat fee: $1.95
- Additional fee per mile: $2.70
Let's assume the fixed fee is represented by b, and the additional fee per mile is represented by m.
The equation in point-slope form is given by:
C = m * m + b
To find the values for m and b, we can use the following information:
- The flat fee is $1.95, which represents the y-intercept (0, b).
- The additional fee per mile is $2.70.
Using the values:
m = $2.70
b = $1.95
The equation in point-slope form for the amount charged C (in dollars) for m (number of miles) for the company in Raleigh, NC is:
C = 2.70m + 1.95