Cab companies often charge a flat fee for picking up someone and then an additional fee per mile driven.

Question

The city of Raleigh, NC charger $1.95 fee and $2.70 per mile for each cab ride
Write an equation in standard form to represent the amount charged, C, for m number of miles for the company in Raleigh.
convert slope intercept form to standard form

Answer 1

To represent the amount charged, C, for m number of miles for the cab company in Raleigh, we can use the equation:

C = 1.95 + 2.70m

To convert this equation from slope-intercept form (y = mx + b) to standard form (Ax + By = C), we can multiply every term by 100 to eliminate decimals:

100C = 100(1.95) + 100(2.70m)
100C = 195 + 270m

Now, we can move the 270m term to the left side of the equation:

-270m + 100C = 195

This equation is in standard form.