Final answer:
The cost equations based on the number of miles driven for Andy's Cab Service and Randy's Cab Service are CAndy = 6 + 0.50m and CRandy = 0.80m, respectively.
Step-by-step explanation:
The question is asking for the creation of cost equations for two different cab services provided by Andy and his twin brother Randy. To represent the charges as equations, you need to use the number of miles (m) driven as the variable.
For Andy's Cab Service, there is a flat fee of $6, and then an additional charge of $0.50 per mile. This can be represented as a cost equation:
CAndy = 6 + 0.50m,
where CAndy represents the total cost and m represents the number of miles driven.
Randy's cab service charges no initial fee, but charges $0.80 per mile. The cost equation for Randy's service is:
CRandy = 0.80m,
where CRandy is the total cost for using Randy's cab service over m miles.