Question

The total cost is $8200 increased by 6% plus $9.75 for each item produced. Which of the following expressions correctly represents the total cost (C) in terms of the number of items produced (n)?

a) C=8200+0.06×n+9.75
b) C=8200+0.06n+9.75
c) C=8200×(1+0.06)+9.75n
d) C=8200×(1.06)+9.75×n

Answer 1

The total cost (C) in terms of the number of items produced (n) is represented by the expression: C = 8200 × (1.06) + 9.75 × n. This equation takes into account the base cost, the percentage increase, and the cost per item produced.

Step-by-step explanation:

The total cost (C) in terms of the number of items produced (n) is represented by the expression:

C = 8200 × (1.06) + 9.75 × n

In this equation, $8200 represents the base cost, which is increased by 6% (1.06) to account for the percentage increase. Additionally, $9.75 is added for each item produced (n).