A culture of the bacterium bownonews encention Initially contains 50 cells. when introduced into a nutrient broth, the culture grows at aate proportional to its ure. After 1.5 hours, the population has Increased to 875. (a) Find an expression for the number of bacteria after f hours. (Round your numeric values to four decimal places.) P() - 501-9081r (b) Find the number of bacteria after 5 hours. (Round your answer to the nearest whole number) (5) = 837371 * bacteria (c) Find the rate of growth (in bacteria per hour) after 5 hours. (Round your answer to the nearest whole number) P'(5)= 1028855 * bacteria per hour (d) After how many hours will the population reach 250,0907 (Round your answer to one decimal place.) - 4.5