Question

A certain company has a fixed cost of $200 per day. It costs the company $3.10 per unit to make its products. The company is tracking its average cost to make x units using f (x) = StartFraction 200 + 3.10 x Over x EndFraction. Which statement is true? The horizontal asymptote of y = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases. The horizontal asymptote of y = 0 represents that the average cost per unit will approach $0 as the number of units produced increases. The vertical asymptote of x = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases. The vertical asymptote of x = 0 represents that the average cost per unit will approach $0 as the number of units produced increases.

Answer 1

The horizontal asymptote of y = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases.

Step-by-step explanation:

The correct statement is: The horizontal asymptote of y = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases.

To understand why, we need to look at the function f(x) = [200 + 3.10x] / x. As x approaches infinity, the value of (200 + 3.10x) in the numerator will dominate the fraction, and the denominator x will have less and less effect on the outcome. This means that the average cost per unit will approach the value of 3.10. This is why the horizontal asymptote of y = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases.

Answer 2

A: The horizontal asymptote of y = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases.

Step-by-step explanation: