bacteria culture grows with constant relative growth rate. The bacteria count was 1,920 after 4 hours and 1,966,080 after 12 hours. (a) What is the relative growth rate? Express your answer as a percentage. (Round your answer to two decimal places.) (b) What was the initial size of the culture? (c) Find an expression for the exact number of bacteria after t hours, y(t). y(t) = (d) Find the number of bacteria after 10.5 hours. (Round your answer to the
bacteria culture grows with constant relative growth rate. The bacteria count was 1,920 after 4 hours and 1,966,080 after 12 hours. (a) What is the relative growth rate? Express your answer as a percentage. (Round your answer to two decimal places.) (b) What was the initial size of the culture? (c) Find an expression for the exact number of bacteria after t hours, y(t). y(t) = (d) Find the number of bacteria after 10.5 hours. (Round your answer to the
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 constant relative growth rate. The bacteria count was 1,920 after 4 hours and 1,966,080 after 12 hours.
(a) What is the relative growth rate? Express your answer as a percentage. (Round your answer to two decimal places.)
(b) What was the initial size of the culture?
(c) Find an expression for the exact number of bacteria after t hours, y(t).
y(t) =
(d) Find the number of bacteria after 10.5 hours. (Round your answer to the nearest whole number.)
(e) Find the rate of growth (in bacteria per hour) after 10.5 hours. (Round your answer to the nearest whole number.)
(f) How many hours did it take for the population to reach 78,000? (Round your answer to two decimal places.)
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