Question

The daily cost to the manufacturing company is modeled by the function C(x)=7.25x+2500 where C(x) is the total daily cost and x is the number of items manufactured.

A. Determine the independent and dependent variable.
B. Find C(0). Explain what this result means.
C. Find C(1000). Explain what this result means.

Answer 1

Answer: A. Independent: Number of items manufactured

Dependent: Total daily cost

B. C(0)=2500 ==> Total daily cost when no items are manufactured.

C. C(1000)=9750 ==> Total daily cost when 1000 items are manufactured.

Explanation:

A. Independent: Number of items manufactured

Dependent: Total daily cost since it depends on the number of items made.

B. C(0)=7.25(0)+2500

C(0)=2500 ==> Total daily cost when no items are manufactured.

C. C(1000)=7.25(1000)+2500

C(1000)=7250+2500

C(1000)=9750 ==> Total daily cost when 1000 items are manufactured.