Use calculus strategies taught in grade 12 Ontario calc! Thanks!

10. At time t (in days), the size S of a population of butterflies is given by the formula 600 S = - 1+49(0.6)' Use the graph below and your knowledge of derivatives to answer the following: (6 marks) a) What is the growth rate after 7 days? b) When does the maximum population occur? c) Explain why the shape of the graph looks this way (ie. what is happening to this population of butterflies)