At the beginning of a study, a certain culture of bacteria has a population of 460. The population grows according to a continuous exponential growth model. After 7 days, there are 506 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 11 days after the beginning of the study? Do not round any intermediate computations, and round your answer to the nearest whole number. |bacteria
At the beginning of a study, a certain culture of bacteria has a population of 460. The population grows according to a continuous exponential growth model. After 7 days, there are 506 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 11 days after the beginning of the study? Do not round any intermediate computations, and round your answer to the nearest whole number. |bacteria
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text:At the beginning of a study, a certain culture of bacteria has a population of 460. The population grows according to a continuous
exponential growth model. After 7 days, there are 506 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 11 days after the beginning of the
study?
Do not round any intermediate computations, and round your
answer to the nearest whole number.
|bacteria
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