Graded Assignment Semester A Exam, Part 2 Answer the questions. Use the amount of space you require. When you have finished, submit this test to your teacher by the due date. All work must be shown for full credit. Total score: ____ of 25 points (Score for Question 1: ___ of 5 points) Andre observes that the population of a species grows exponentially over time. Initially, there are 120 organisms of the species. After 6 days, the population grows to 180 organisms. How many days until the population of the species is 500 organisms? Round your answer to the nearest whole number. Answer: P = ab^t where: P = population after t days=180 a=initial population=120 At t=6 days 180=120xb6 b=6120180=61.5 Now that we get the value of b, To get the no of days so that population=500 500=120(61.5)t divide both sides by 120 625=(61.5)t take the log of both sides Log(625)=Log((61.5)t) Log(625)=tLog(61.5) Now that it is simpler we can get the value of t, t=21.12 say approx. 21 days (Score for Question 2: ___ of 5 points) Express K(x) as a composition of three functions, f, g, and h, where (fogoh)(x)=K(x). K(x)=1/(x x) Answer: (Score for Question 3: ___ of