A bacteria culture starts with 420 bacteria and grows exponentially. After 2 hours there will be 840 bacteria. (a) Express the number of bacteria A as a function oft hours passed. Note: Round the growth rate to 4 dec. places. A(t)= (b) Use the model from part a to determine the number of bacteria, rounded to a whole number, after 6 hours: (c) Use the model from part a to determine the number of hours, rounded to 1 dec. place, for the population to reach 1680:

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 1TI: Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use...
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A bacteria culture starts with 420 bacteria and grows exponentially.
After 2 hours there will be 840 bacteria.
(a) Express the number of bacteria A as a function of t hours passed.
Note: Round the growth rate to 4 dec. places.
A(t)=
(b) Use the model from part a to determine the number of bacteria, rounded to a whole number, after 6
hours:
(c) Use the model from part a to determine the number of hours, rounded to 1 dec. place, for the
population to reach 1680:
Transcribed Image Text:A bacteria culture starts with 420 bacteria and grows exponentially. After 2 hours there will be 840 bacteria. (a) Express the number of bacteria A as a function of t hours passed. Note: Round the growth rate to 4 dec. places. A(t)= (b) Use the model from part a to determine the number of bacteria, rounded to a whole number, after 6 hours: (c) Use the model from part a to determine the number of hours, rounded to 1 dec. place, for the population to reach 1680:
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