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.

"Horizontal asymptotes are horizontal lines that the graph of the function approaches as x tends to (+ ∞) or (− ∞). As the name indicates they are parallel to the x-axis.

Vertical asymptotes are vertical lines (perpendicular to the x-axis) near which the function grows without bound."

Given equation for the average cost to make 'x' units is:

f(x) = (200 + 3.10x)/x

We can find the horizontal asymptote in the below mentioned way:

Here, f(x) = (200 + 3.10x)/x

⇒ y = (200 + 3.10x)/x

Now, taking the terms with the biggest exponents of 'x', we get:

⇒ y = (3.10x)/x

Now, the horizontal asymptote can be observed by ignoring the all the 'x': Therefore, y = 3.10

Similarly, we can find the vertical asymptote in the below mentioned way:

The given equation is:

f(x) = (200 + 3.10x)/x

Now, we have to take the denominator as zero.

Therefore, f(x) = (200 + 3.10 x)/0

Learn more about horizontal and vertical asymptote here: https://brainly.com/question/3521862

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