3
QuizMultiple Choice

Modeling with Rational Functions — Quiz

Question 3 • Mathematics III

The function f of x is equal to the fraction with numerator 600 plus 2 x and denominator x yields the average cost in dollars for a company to produce x calendars. Which statement best fits the situation modeled by the function?

Answer
A
The company spends 600 dollars on a new computer and printer before beginning the project.
B
The company will sell the calendars for 2 point 0 0 dollars each.
C
The company takes 600 photos before selecting which ones to use for its calendars.
D
The company expects to sell 600 calendars each month.

Explanation

Rewrite the average cost as (600 + 2x)/x = 600/x + 2. The 600 is a fixed cost spread across the calendars, while the 2 represents a cost of $2 for each calendar. Thus, the situation includes a $600 cost before production, which matches the statement about buying a computer and printer.

AI-written and checked against the verified answer.

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