Instructions: Answer questions #1-6 in complete sentences using the graph. Answer question 7 parts b, c, and d in complete sentences using your own mathematical evidence from part a. When a certain prescription drug is taken orally by an adult, the amount of the drug (in mg/L) in the bloodstream at t hours is given by the function y = f(t) shown in the graph. 1 What is the concentration of the drug in the bloodstream at t = 8 hours? 2 During what time interval is the drug level in the bloodstream increasing? Decreasing? 3 When does the level of the drug in the bloodstream reach its maximum value, and what is the concentration in the bloodstream at that time? 4 After the drug reaches its maximum level in the bloodstream, how many additional hours are required for the level to drop to 16 mg/L? 5 As time increases, what does the graph predict about the level of the drug in the bloodstream? 6 In 3-4 sentences, summarize what happens to the amount of drugs in the system in the first 20 hours. Use numerical findings from #1-5 to validate your statements. 7. Suppose that another drug is administered intravenously to an adult patient in a hospital prescribed by a doctor. The relationship between the concentration of the drug (in mg/L) in the bloodstream and the time (in hours after administration) is modeled by the function c t 20t t 4 . 2 a) Using the function above, fill in a chart of the concentration of the drug in the bloodstream for the first 24-hour period after administration at intervals of two hours. Write the concentration accurate to two decimal places as needed. t 0 2 4 6 8 10 12 14 16 18 20 22 24 c(t) b) When will the concentration of the drug fall to a level of 0.5 mg/L? c) When must the next dose of the drug be administered to the patient in order to maintain a concentration above 1 mg/L and below 8 mg/L? Explain your reasoning. d) What is a reasonable domain for this function? Justify why (and if) you would exclude any values