Cab companies often charge a flat fee for picking someone up and then an additional fee per mile driven. The city of Charlotte, NC charges a $2.50 fee and and $2.50 per mile for each can ride.

Question

1. Write an equation in slope-intercept form to represent the amount charged, C, for m number of miles by the company in Charlotte.

Answer 1

The slope-intercept form of an equation is given by:

\[ C(m) = km + b \]

where \( C \) represents the total cost, \( m \) represents the number of miles driven, \( k \) represents the cost per mile (slope), and \( b \) represents the initial flat fee (y-intercept).

For this cab company in Charlotte, NC, the flat fee (\( b \)) is $2.50 and the additional fee per mile (\( k \)) is also $2.50. Plugging these values into the equation, we get:

\[ C(m) = 2.50m + 2.50 \]

This equation represents the total cost, \( C \), as a function of the number of miles driven, \( m \).