In addition to determining if a function has a vertical asymptote, we are often interested in how fast the graph approaches the asymptote. This involves the functions rate of change over a small interval. Some industries resist cleaner air standards because the cost of removing pollutants rises dramatically as higher standards are set. This phenomenon can be modeled by c(x)= 250x/100-x. In this formula, c(x) is the cost in thousands of dollars of removing x% of the pollutant. Produce a professional-looking graph of the function over the interval [0,100]. If new laws are passed that require 80% of a pollutant to be removed, while the existing law requires only 75%, how much will the new legislation cost the company? (Make sure to explain how you get all your results.) What is the average rate of change over this interval? Include units. Draw the corresponding secant line on your graph. If new laws are passed that require 91% of a pollutant to be removed, while the existing law requires only 90%, how much will the new legislation cost the company? What is the average rate of change over this interval? Include units. Draw the corresponding secant line on your graph. What will it cost the company to remove 100% of the pollutant?

In addition to determining if a function has a vertical asymptote, we are often interested in how fast the graph approaches the asymptote. This involves the function's rate of change over a small interval. Some industries resist cleaner air standards because the cost of removing pollutants rises dramatically as higher standards are set. This phenomenon can be modeled by 250x 100- C(x)- In this formula, C(x) is the cost in thousands of dollars of removing x% of the pollutant. Produce a professional-looking graph of the function over the interval [0,100] If new laws are passed that require 80% of a pollutant to be removed, while the existing law requires only 75%, how much will the new legislation cost the company? (Make sure to explain how you get all your results.) What is the average rate of change over this interval? Include units Draw the corresponding secant line on your graph. If new laws are passed that require 91% of a pollutant to be removed, while the existing law requires only 90%, how much will the new legislation cost the company? What is the average rate of change over this interval? Include units. Draw the corresponding secant line on your graph. What will it cost the company to remove 100% of the pollutant? Finish your write-up with a short summary or other concluding remarks. In addition to determining if a function has a vertical asymptote, we are often interested in how fast the graph approaches the asymptote. This involves the function's rate of change over a small interval. Some industries resist cleaner air standards because the cost of removing pollutants rises dramatically as higher standards are set. This phenomenon can be modeled by 250x 100- C(x)- In this formula, C(x) is the cost in thousands of dollars of removing x% of the pollutant. Produce a professional-looking graph of the function over the interval [0,100] If new laws are passed that require 80% of a pollutant to be removed, while the existing law requires only 75%, how much will the new legislation cost the company? (Make sure to explain how you get all your results.) What is the average rate of change over this interval? Include units Draw the corresponding secant line on your graph. If new laws are passed that require 91% of a pollutant to be removed, while the existing law requires only 90%, how much will the new legislation cost the company? What is the average rate of change over this interval? Include units. Draw the corresponding secant line on your graph. What will it cost the company to remove 100% of the pollutant? Finish your write-up with a short summary or other concluding remarks