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tamaranim1 [39]
3 years ago
13

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 ca

r 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.
Mathematics
1 answer:
kvasek [131]3 years ago
4 0

Answer:

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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generate the first few terms using the recursive equation

f(1) = 72

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f(3) = 81 + 9 = 90

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This is an arithmetic sequence whose n th term formula is

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d = 99 - 90 = 90 - 81 = 81 - 72 = 9 and a_{1} = 72

a_{n} = 72 + 9(n - 1) = 72 + 9n - 9 = 9n + 63 ← explicit formula


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