Question

The function yields the average cost in dollars for a company to produce x copies of a comic book. Which statement best fits the situation modeled by the function?

a.The company earns 20% of the issue price as profit from each copy sold.
b.The company earns 20 cents as profit from each copy sold.
c.The company spends 20% of the issue price on materials to produce each copy.
d.The company spends 20 cents on materials to produce each copy.

Answer 1

The function represents the average cost in dollars for a company to produce x copies of a comic book, by dividing the total cost of production by the number of copies produced.

Step-by-step explanation:

The function f(x) = (80,000+0.2x)/x represents the average cost in dollars for a company to produce x copies of a comic book. This can be determined by dividing the total cost of production, which is given by 80,000+0.2x, by the number of copies produced, which is x. So, the function calculates the average cost per copy.

For example, if the company produces 100 copies of the comic book, the function can be evaluated as:
f(100) = (80,000 + 0.2(100))/100 = 800.2/100 = 8.002

Therefore, the statement that best fits the situation modeled by the function is d. The company spends 20 cents on materials to produce each copy.