The count in a culture of bacteria was 800 after 2 hours and 51,200 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 noet. Round your no value to the nearest whole number. Round your r value to two decimal places.) n(t) =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter7: Exponents And Exponential Functions
Section7.8: Transforming Exponential Expressions
Problem 4PPS
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This exercise uses the population growth model.

The count in a culture of bacteria was 800 after 2 hours and 51,200 after 6 hours.

This exercise uses the population growth model.
The count in a culture of bacteria was 800 after 2 hours and 51,200 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 noe". Round your no 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 100,000? (Round your answer to two decimal places.)
hr
Transcribed Image Text:This exercise uses the population growth model. The count in a culture of bacteria was 800 after 2 hours and 51,200 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 noe". Round your no 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 100,000? (Round your answer to two decimal places.) hr
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