1. Consider a population of bacteria that grows according to the function f(t) = 500e 0.05, where t is measured in minutes. How many bacteria are present in the population after 4 hours? When does the population reach 100 million bacteria? 2. Suppose it takes 9 months for the fish population in Example 2 to reach 1,000 fish. Under this circumstances, how long do the owner's friends have to wait? 3. Referring to Example 3, suppose the room is warmer (75°F) and, after 2 minutes, the coffee has cooled only to 185°F. When is the coffee first cool enough to serve? When is the coffee be too cold to serve? Round answers to the nearest half minute. 4. If we have 100-grams of carbon-14, how much is left 45 years? If an artifact that originally contained 100-grams carbon now contains 20-grams of carbon, how old is it? Round your answer to the nearest hundred years.