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

Algebra ->  Rational-functions -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
y=%28650%29%2F%282x%2B40%29%29 Start with the given function



Looking at the numerator 650, we can see that the degree is 0 since the highest exponent of the numerator is 0. For the denominator 2x%2B40, we can see that the degree is 1 since the highest exponent of the denominator is 1.


Horizontal Asymptote:

Since the degree of the numerator (which is 0) is less than the degree of the denominator (which is 1), the horizontal asymptote is always y=0

So the horizontal asymptote is y=0



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

2x%2B40=0 Set the denominator equal to zero


2x=0-40Subtract 40 from both sides


2x=-40 Combine like terms on the right side


x=%28-40%29%2F%282%29 Divide both sides by 2 to isolate x



x=-20 Divide


So the vertical asymptote is x=-20




So looking at your answer, you are correct.