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.

Question

24-04-2017
Mathematics

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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.

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taskmasters taskmasters · Answer 1 · 2017-05-08T07:11:24+02:00

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

Finding the horizontal asymptote
1) put equation in y form: y = 200 + 3.10x / x
2) remove everything except the terms with the biggest exponents of x
y = 3.10x / x
3) remove x to recognize the horizontal asymptote: y = 3.10

Finding the vertical asymptote
1) set the denominator to be equal to 0 and solve for x
f(x) = 200 + 3.10x / x

x = 0

f(x) = 200 + 3.10 x / 0

My answer is:

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.

mistered602 mistered602 · Answer 2 · 2020-03-27T23:50:12+01:00

mistered602 mistered602

27-03-2020

Answer:

A on edge

Step-by-step explanation:

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