The rational function C(x)=120x/(100-x) where 0?x?100 describes the cost, C, in millions of dollars, to inoculate x% of the population against a particular strain of the flu. A.) What is the cost of inoculating: a. No one: $_____________ b. 10% of the population: $_____________ c. 50% of the population: $_____________ d. Everyone $_____________ B.) Graph the function below: C.) What does your answer on the cost of inoculating everyone (x=%100) mean? Do you think this is a realistic model? Why or why not? D.) What percentage of the population can you inoculate for $80 million? E.) What percentage of the population can you inoculate for $600 million? F.) What Is the domain of C(x)? State your reasoning. G.) What is the range of C(x)? State your reasoning. H.) Does C(x) have any asymptotes? If so, what are they?
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