A bacteria culture grows with a constant relative growth rate. After 2 hours there are 600 bacteria and after 8 hours the count is 75,000. (a) Find the initial population.P(0) = bacteria(b) Find an expression for the population after t hours.P(t) = (c) Find the number of cells after 7 hours. (Round your answer to the nearest integer.)P(7) = bacteria(d) Find the rate of growth after 7 hours. (Round your answer to the nearest integer.)P'(7) = bacteria/hour(e) When will the population reach 200,000? (Round your answer to one decimal place.)t = hours
A bacteria culture grows with a constant relative growth rate. After 2 hours there are 600 bacteria and after 8 hours the count is 75,000. (a) Find the initial population.P(0) = bacteria(b) Find an expression for the population after t hours.P(t) = (c) Find the number of cells after 7 hours. (Round your answer to the nearest integer.)P(7) = bacteria(d) Find the rate of growth after 7 hours. (Round your answer to the nearest integer.)P'(7) = bacteria/hour(e) When will the population reach 200,000? (Round your answer to one decimal place.)t = hours
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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A bacteria culture grows with a constant relative growth rate. After 2 hours there are 600 bacteria and after 8 hours the count is 75,000.
(a) Find the initial population.
P(0) = bacteria
(b) Find an expression for the population after t hours.
P(t) =
(c) Find the number of cells after 7 hours. (Round your answer to the nearest integer.)
P(7) = bacteria
(d) Find the rate of growth after 7 hours. (Round your answer to the nearest integer.)
P'(7) = bacteria/hour
(e) When will the population reach 200,000? (Round your answer to one decimal place.)
t = hours
P(0) = bacteria
(b) Find an expression for the population after t hours.
P(t) =
(c) Find the number of cells after 7 hours. (Round your answer to the nearest integer.)
P(7) = bacteria
(d) Find the rate of growth after 7 hours. (Round your answer to the nearest integer.)
P'(7) = bacteria/hour
(e) When will the population reach 200,000? (Round your answer to one decimal place.)
t = hours
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