AnswersMathematics IIIGraphing Rational Functions — QuizQuestion 4
4
QuizMultiple Choice

Graphing Rational Functions — Quiz

Question 4 • Mathematics III

A certain company has a fixed cost of 200 dollars per day. It costs the company 3 point 1 0 dollars per unit to make its products. The company is tracking its average cost to make x units using f of x is equal to the fraction with numerator 200 plus 3 point 1 0 x and denominator x Which statement is true?

Answer
A
The horizontal asymptote of y is equal to 0 represents that the average cost per unit will approach 0 dollars as the number of units produced increases.
B
The vertical asymptote of x is equal to 3 point 1 0 represents that the average cost per unit will approach 3 point 1 0 dollars as the number of units produced increases.
C
The vertical asymptote of x is equal to 0 represents that the average cost per unit will approach 0 dollars as the number of units produced increases.
D
The horizontal asymptote of y is equal to 3 point 1 0 represents that the average cost per unit will approach 3 point 1 0 dollars as the number of units produced increases.

Explanation

Divide each term in the numerator by x: f(x) = 200/x + 3.10. As the number of units x increases, 200/x approaches 0, so the average cost approaches $3.10 per unit. Therefore, the horizontal asymptote is y = 3.10, as stated in choice D.

AI-written and checked against the verified answer.

Previous
Next

More from this Course

Quiz
10 verified answers

Quiz

Quiz
10 verified answers

Quiz

Quiz
10 verified answers

Quiz