A culture of the bacterium Salmonella enteritidis initially contains 50 cells. When introduced into a nutrient broth, th

[answerhappygod]

A culture of the bacterium Salmonellaenteritidis initially contains 50 cells. When introducedinto a nutrient broth, the culture grows at a rate proportional toits size. After 1.5 hours, the population has increasedto 925.
(a)
Find an expression for the number of bacteriaafter t hours. (Round your numeric values tofour decimal places.)
P(t) =
50e1.9452t
(b)
Find the number of bacteria after 5 hours. (Round youranswer to the nearest whole number.)
P(5) = 837,371 bacteria
(c)
Find the rate of growth (in bacteria per hour)after 5 hours. (Round your answer to the nearest wholenumber.)
P ′(5)= I ONLY NEED HELP ON PARTC bacteria per hour
(d)
After how many hours will the population reach 250,000? (Roundyour answer to one decimal place.)
t = 4.4 hr