To the right, you are given the graph of the function P = f(t) = 100-1.5t, which gives the population of a bacteria colony, P, after t hours. (a) Use the graph to estimate f'(1), and give a complete sen- tence interpretation of your answer in the context of this problem. (b) Use the limit definition of the derivative and a table to approximate f'(1) to within 0.1 of its true value. Show your table, and circle your final answer. P 600+ 500 400 300 200 100 f(t) = 100.1.5t 1 ta 2 73 4 t

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