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16 March, 00:49

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.

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  1. 16 March, 01:32
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    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

    Step-by-step 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
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