Question

A service station charges $40 per hour for labor plus the cost of parts to repair a car. Parts can either be ordered from the car dealership for $250 or from a warehouse for $200. The equations below give the total repair cost C (in dollars) for a repair that takes t hours using parts from the dealership or from the warehouse.

Answer 1

1. Total charges at the service station if he gets the parts from the car dealership:C=40 t+250

2. Total charges at the service station if he gets the parts from the warehouse:C=40 t+200

Explanation:

1. The Total charges at the service station when at the dealership can be expressed as;

Total charges at the service station(dealership)=Cost of parts at the dealership+(labor charges per hour×number of hours of service (t))

where;

Cost of parts at the dealership=$250

Labor charges per hour×number of hours of service (t)=(40×t)=40 t

Total charges at the service station(C)=250+40 t

Total charges at the service station if he gets the parts from the car dealership:C=40 t+250

2. The Total charges at the service station when at the warehouse can be expressed as;

Total charges at the service station(warehouse)=Cost of parts at the warehouse+(labor charges per hour×number of hours of service (t))

where;

Cost of parts at the dealership=$200

Labor charges per hour×number of hours of service (t)=(40×t)=40 t

Total charges at the service station(C)=200+40 t

Total charges at the service station if he gets the parts from the warehouse:C=40 t+200