At the beginning of a study, a certain culture of bacteria has a population of 80. The population grows according to a continuous exponential growth model. After 13 days, there are 216 bacteria. (a) Lett be the time (in days) since the beginning of the study, and let y be the number of bacteria at time t. Write a formula relating y to t. Use exact expressions to fill in the missing parts of the formula. Do not use approximations. y = ₂0₁ 0e (b) How many bacteria are there 14 days after the beginning of the study? Do not round any intermediate computations, and round your answer to the nearest whole number. bacteria 믐 X Olno k

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.CT: Chapter Test
Problem 11CT
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Question
At the beginning of a study, a certain culture of bacteria has a population of 80. The population grows according to a
continuous exponential growth model. After 13 days, there are 216 bacteria.
(a) Lett be the time (in days) since the beginning of the study, and let
y be the number of bacteria at time t.
Write a formula relating y to t.
Use exact expressions to fill in the missing parts of the formula.
Do not use approximations.
y = ₂0₁
0e
(b) How many bacteria are there 14 days after the beginning of the
study?
Do not round any intermediate computations, and round your
answer to the nearest whole number.
bacteria
믐
X
Olno
k
Transcribed Image Text:At the beginning of a study, a certain culture of bacteria has a population of 80. The population grows according to a continuous exponential growth model. After 13 days, there are 216 bacteria. (a) Lett be the time (in days) since the beginning of the study, and let y be the number of bacteria at time t. Write a formula relating y to t. Use exact expressions to fill in the missing parts of the formula. Do not use approximations. y = ₂0₁ 0e (b) How many bacteria are there 14 days after the beginning of the study? Do not round any intermediate computations, and round your answer to the nearest whole number. bacteria 믐 X Olno k
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