To determine the cost [tex]\( C \)[/tex] of a ride with the Get-Around Cab Company, we need to consider two components: the entry fee and the cost per mile.
1. Entry Fee:
- The company charges a flat fee of [tex]$2.50$[/tex] just for getting into the cab.
2. Cost per Mile:
- In addition to the entry fee, the company charges [tex]$2$[/tex] for every mile traveled.
Therefore, the total cost [tex]\( C \)[/tex] of a ride can be expressed as a function of the number of miles [tex]\( m \)[/tex] traveled. To create this function, we need to combine the cost per mile and the entry fee.
- The term [tex]\( 2m \)[/tex] represents the cost for [tex]\( m \)[/tex] miles, since each mile costs [tex]$2$[/tex].
- Adding the flat entry fee of [tex]$2.50$[/tex], our equation becomes [tex]\( C(m) = 2m + 2.50 \)[/tex].
So the function that represents the cost [tex]\( C \)[/tex] of a ride of [tex]\( m \)[/tex] miles is:
[tex]\[
C(m) = 2m + 2.50
\][/tex]
In the given format:
[tex]\[
C(m) = 2m + 2.50
\][/tex]
