SOLUTION: The average cost per unit of producing x cartons of cocoa is given by: C(x)= 650/2x+40 Vert asymptote: 2x+40=0 2x=-40 x=-20 and for Horizontal: y=a/c =0/2 y=0

Question 117818: The average cost per unit of producing x cartons of cocoa is given by:
C(x)= 650/2x+40
Vert asymptote:
2x+40=0
2x=-40
x=-20
and for Horizontal:
y=a/c
=0/2
y=0
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given function

Looking at the numerator , we can see that the degree is since the highest exponent of the numerator is . For the denominator , we can see that the degree is since the highest exponent of the denominator is .

Horizontal Asymptote:

Since the degree of the numerator (which is ) is less than the degree of the denominator (which is ), the horizontal asymptote is always

So the horizontal asymptote is

--------------------------------------------------

Vertical Asymptote:
To find the vertical aysmptote, just set the denominator equal to zero and solve for x

Set the denominator equal to zero

Subtract 40 from both sides

Combine like terms on the right side

Divide both sides by 2 to isolate x

Divide

So the vertical asymptote is

So looking at your answer, you are correct.
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