The mass of a substance, which follows a continuous exponential growth model, is being studied in a lab. The doubling time for this substance was observed to be 4 hours. There were 87.1 mg of the substance present at the beginning of the study. (a)Let t be the time (in hours) since the beginning of the study, and let y be the amount of the substance at time t. Write a formula relating y to t.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter4: Exponential And Logarithmic Functions
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Problem 12CC: Suppose that the initial size of a population is n0 and the population grows exponentially. Let n(t)...
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The mass of a substance, which follows a continuous exponential growth model, is being studied in a lab. The doubling time for this substance was observed to be 4 hours. There were 87.1 mg of the substance present at the beginning of the study.
(a)Let t be the time (in hours) since the beginning of the study, and let y be the amount of the substance 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 much will be present in 11 hours?
Do not round any intermediate computations, and round your answer to the nearest tenth.

 

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