This exercise uses the population growth model. 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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter7: Exponents And Exponential Functions
Section7.8: Transforming Exponential Expressions
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This exercise uses the population growth model.

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 ho
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