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 74.8 mm“ and an observed doubling time of 13 days. (a) Let t be the time (in days) passed, and let y be the area of the sample at time t. Oino Write a formula relating y to t. Use exact expressions to fill in the missing parts of the formula. Do not use approximations. y = (b) What will the area of the sample be in 8 days? olo x

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
Problem 12CC
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Españo
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 74.8 mm´ and an observed doubling time of 13 days.
(a) Let t be the time (in days) 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 8 days?
Do not round any intermediate computations, and round your
answer to the nearest tenth.
2
O mm
Explanation
Check
Transcribed Image Text:Españo 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 74.8 mm´ and an observed doubling time of 13 days. (a) Let t be the time (in days) 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 8 days? Do not round any intermediate computations, and round your answer to the nearest tenth. 2 O mm Explanation Check
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