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 5 days, there are 124 bacteria. a)Let t 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. b)How many bacteria are there 7 days after the beginning of the study? Do not round any intermediate computations, and round your answer to the nearest whole number.
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 5 days, there are 124 bacteria. a)Let t 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. b)How many bacteria are there 7 days after the beginning of the study? Do not round any intermediate computations, and round your answer to the nearest whole number.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
5 days, there are 124 bacteria.
a)Let t 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.
b)How many bacteria are there 7 days after the beginning of the study? Do not round any intermediate computations, and round your answer to the nearest whole number.
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