Question

The count in a culture of bacteria was 600 after 2 hours and 38,400 after 6 hours.
(a) What is the relative rate of growth of the bacteria population? Express your answer as a percentage. (Round your answer to the nearest whole number.)
%

(b) What was the initial size of the culture? (Round your answer to the nearest whole number.)
bacteria

(c) Find a function that models the number of bacteria n(t) after t hours. (Enter your answer in the form
n0ert.
Round your
n0
value to the nearest whole number. Round your r value to two decimal places.)
n(t) =


(d) Find the number of bacteria after 4.5 hours. (Round your answer to the nearest hundred.)
bacteria

(e) After how many hours will the number of bacteria reach 75,000? (Round your answer to two decimal places.)
hr​

Answer 1

Answer:

The count in a culture of bacteria was 600 after 2 hours and 38,400 after 6 hours. (a) What is the relative rate of growth of the bacteria population? Express your answer as a percentage. (Round your answer to the nearest whole number.) [ 104 ] % (b) What was the initial size of the culture? (Round your answer to the nearest whole number.) [ 400 } x bacteria (C) Find a function that models the number of bacteria n(t) after t hours. (Round your r value to two decimal places.) n(t) = 600e^1.04 e (d) Find the number of bacteria after 4.5 hours. (Round your answer to the nearest hundred.) bacteria (e) When will the number of bacteria be 75,000? (Round your answer to two decimal places.)