Caffeine occurs naturally in a variety of food products such as coffee, tea, and chocolate. The kidneys lter the blood and remove caffeine and other drugs through urine. The biological halflife of caffeine is approximately 6 hours. If one cup of coffee has 150 mg of caffeine, then the amount of caffeine C (in mg) remaining after 3 hours is given by C' =150f2}_"5. (a) How long will it take for the amount of caffeine to drop below 60 mg? Round to 1 decimal place. (b) Laura has trouble sleeping if she has more than 30 mg of caffeine in her bloodstream. How many hours before going to bed should she stop drinking coffee? Round to 1 decimal place, if necessary. Part: D] 2 Part 1 of2 (a) It Iwill take approximately l_l hour(s) for the amount of caffeine to drop below 60 mg. On August 31, 1854, an epidemic of cholera was discovered in London, England, resulting from a contaminated community water pump. By the end of September, more than 600 citizens who drank water from the pump had died. The cumulative number of deaths D () at a time : days after August 31 is given by D (t) = 91 + 160 In(#+ 1). (a) Determine the cumulative number of deaths by September 13. Round the answer to the nearest whole unit. (b) Approximately how many days after August 31 did the cumulative number of deaths reach 700? Round the answer to the nearest whole unit. Cumulative Deaths vs. Time 800 600 Number of Deaths 400 200 [D(1) = 91 + 160 In(1 + 1)] 5 10 15 20 25 30 Days after August 31 Part 1 of 2 The cumulative number of deaths by September 13 was approximately X 5 Part 2 of 2 Approximately days after August 31 the cumulative number of deaths reached 700. X 5