The area covered by a certain population of bacteria increases according to a continuous exponential growth model. Suppose that a sample culture has an initial area of 8.8 mm and an observed doubling time of 14 hours. (a) Let i be the time (in hours) passed, and let y be the area of the sample at time t. Olno Write a formula relating y to t. Use exact expressions to fill in the missing parts of the formula. Do not use approximations. ? (b) What will the area of the sample be in 17 hours? Do not round any intermediate computations, and round your answer to the nearest tenth. Omm 2 Dlo

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.CR: Chapter Review
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Español
The area covered by a certain population of bacteria increases according
to a continuous exponential growth model. Suppose that a sample
culture has an initial area of 8.8 mm² and an observed doubling time of 14
hours.
(a) Let t be the time (in hours) passed, and let y be the area of the
sample at time t.
Olno
Write a formula relating y to t.
Use exact expressions to fill in the missing parts of the formula.
Do not use approximations.
Aa
(b) What will the area of the sample be in 17 hours?
Do not round any intermediate computations, and round your
answer to the nearest tenth.
O mm
2
olo
Transcribed Image Text:Español The area covered by a certain population of bacteria increases according to a continuous exponential growth model. Suppose that a sample culture has an initial area of 8.8 mm² and an observed doubling time of 14 hours. (a) Let t be the time (in hours) passed, and let y be the area of the sample at time t. Olno Write a formula relating y to t. Use exact expressions to fill in the missing parts of the formula. Do not use approximations. Aa (b) What will the area of the sample be in 17 hours? Do not round any intermediate computations, and round your answer to the nearest tenth. O mm 2 olo
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