233 0. [0/4 Points] DETAILS PREVIOUS ANSWERS SCALCET9 3.8.003. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A culture of the bacterium Salmonella enteritidis initially contains 50 cells. When introduced into a nutrient broth, the culture grows at a rate proportional to its size. After 1.5 hours, the population has increased to 825. (a) Find an expression for the number of bacteria after t hours. (Round your numeric values to four decimal places.) P(t) = 50 8.25 X (b) Find the number of bacteria after 5 hours. (Round your answer to the nearest whole number.) P(5) = 1,910,908 x bacteria (c) Find the rate of growth (in bacteria per hour) after 5 hours. (Round your answer to the nearest whole number.) P'(5)= 4,032,423 x bacteria per hour (d) After how many hours will the population reach 250,0007 (Round your answer to one decimal place.) t = 1.9 % hr