A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 480 (a) Find an expression for the number of bacteria after t hours. P(t)=| 100(4.8)t | (b) Find the number of bacteria after 4 hours. (Round your answer to the nearest whole number.) P(4)=53,084 bacteria (c) Find the rate of growth after 4 hours. (Round your answer to the nearest whole number.) (4) = 83269 bacteria per hour (d) When will the population reach 10,000? (Round your answer to one decimal place.) t= 0.9 Submit Answer Save Progress 0.8/1 points | Previous Answers SCalcCC4 7.4.002. My Notes Ask Your Teach A common inhabitant of human intestines is the bacterium Escherichia coli. A cell of this bacterium in a nutrient-broth medium divides into two cells every 20 minutes. The initial population of a culture is 59 cells. (a) Find the relative growth rate. (Assume t is measured in hours.) k- In(8 (b) Find an expression for the number of cells after t hours. P-59(8) (c) Find the number of cells after 8 hours. 989855744cells (d) Find the rate of growth after 8 hours. (Round your answer to three decimal places.) 2058347154 x billion cells per hour (e) When will the population reach 20,000 cells? (Round your answer to two decimal places.) 2.80 hr