10. 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)=200+3.10x / x . which statement is true?

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.

b. the horizontal asymptote of y = 0 represents that the average cost per unit will approach $0 as the number of units produced increases.

c. 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.

d. the vertical asymptote of x = 0 represents that the average cost per unit will approach $0 as the number of units produced increases.

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:

A certain company has a fixed cost of $200 per day. Then it costs the company $3.10 per unit to make its products.

So, the total cost will be,

Then average cost f(x) will be,

As this an equation of hyperbola (rectangular hyperbola).

Its vertical asymptote is (equating denominator to zero),

i.e y axis.

Its horizontal asymptote is (leading coefficient of numerator divided by leading coefficient of denominator),

As x approaches infinity, f(x) approaches 3.10.

Therefore, option a is correct.

Option 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:

Given : 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

To find : Which statement is true?

Solution :

The company is tracking its average cost to make x units using

As the given average cost equation is of hyperbola.

Its vertical asymptote is when we equating denominator to zero,

i.e, x=0 ⇒ y axis.

Its horizontal asymptote is the leading coefficient of numerator divided by leading coefficient of denominator,

i.e,

As

Therefore, Option a is correct.

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: a.   one is a factor of every whole number since every number is divisible by itself.