High School

A television company uses a factory to manufacture one of its parts. The factory has a monthly fixed cost of $600 and an additional cost of $95 per part. If \( C \) is the total cost of using the factory for a month, and \( P \) represents the number of parts the factory manufactures in a month, which of these is the correct relationship between \( P \) and \( C \)?

A. \( P = 600 + 95 \)

B. \( C = 95P + 600 \)

C. \( C = 600P + 95 \)

D. \( P = 95C + 600 \)

Answer :

b. C = 95P+600 is the correct relationship between P and C.

The components of the equation C=95P+600:

  • C represents the total cost of using the factory for a month.
  • P represents the number of parts manufactured in a month.
  • The term 95P represents the additional cost incurred per part, as the factory incurs $95 for each part manufactured.
  • The term 600 represents the fixed monthly cost of the factory, which does not depend on the number of parts manufactured.

The total cost C is the sum of the fixed monthly cost ($600) and the additional cost per part ($95 multiplied by the number of parts P manufactured).

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