The initial size of a culture of bacteria is 1000. After 1 hour the bacteria count is 8000. (a) Find a function n(t) = nae\": that models the population after t hours. (Round your r value to five decimal places.) n(t) = (b) Find the population after 1.5 hours. (Round your answer to the nearest whole number.) (c) After how many hours will the number of bacteria reach 13,000? (Round your answer to one decimal place.) hr (d) Sketch the graph of the population function. 11 n 3_o X 1024 3.5 X 106 6 25x10}, 3.0x10 6 2.5 x 10 2.0 x 102' 2.0 x 106 1.5 x 102' 1.5 x 106 1.0 x 1024 5 1.0 x 10 23 t p 05 10 1.5 20 25 30 r. 05 10 15 20 25 I1 11 25000 350000 20000 300000 250000 15000 200000