The cost per ton y to build an oil tanker of x thousand dead

The cost per ton, y, to build an oil tanker of x thousand deadweight tons was approximated by C(x) = 225,000/x+475 Find any asymptotes. The horizontal asymptote is C The vertical asymptote is x Find any intercepts. Select the correct choice below and fill in any answer boxes within your choice. The x-intercept is The y-intercept or C(0) is (Type an integer or decimal rounded to one decimal place as needed.) There are no intercepts. Graph the function. Choose the correct graph below.

Solution

b. Horizontial asymptote is 0. (The degree of the denominator is larger.) The vertical asymptote would be -475, but because the problem says x > 0, there are technically no vertical asymptotes.

c. There are no x-intercepts. The y-intercept is 225 000/475 or about 473.7

d. Correct choice is D, based on parts b and c.