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

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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



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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.