At the beginning of a study, a certain culture of bacteria has a population of 40. The population grows according to a continuous exponential growth model. After 15 days, there are 124 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 = ₂₁ (b) How many bacteria are there 21 days after the beginning of the study? Do not round any intermediate computations, and round your answer to the nearest whole number. bacteria X Oin

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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At the beginning of a study, a certain culture of bacteria has a population of 40. The population grows according to a continuous
exponential growth model. After 15 days, there are 124 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 =
₁
(b) How many bacteria are there 21 days after the beginning of the
study?
Do not round any intermediate computations, and round your
answer to the nearest whole number.
bacteria
X
Oin
Transcribed Image Text:At the beginning of a study, a certain culture of bacteria has a population of 40. The population grows according to a continuous exponential growth model. After 15 days, there are 124 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 = ₁ (b) How many bacteria are there 21 days after the beginning of the study? Do not round any intermediate computations, and round your answer to the nearest whole number. bacteria X Oin
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