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 74.3 mm and an observed doubling time of 21 hours. (a) Let r be the time (in hours) passed, and let y be the area of the sample at time t. 몸 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 hours? Do not round any intermediate computations, and round your answer to the nearest tenth.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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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 74.3 mm and an observed doubling time of 21 hours.
(a) Let z be the time (in hours) 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 hours?
Do not round any intermediate computations, and round your
answer to the nearest tenth.
2
mm
の
ojo X
Transcribed Image Text: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 74.3 mm and an observed doubling time of 21 hours. (a) Let z be the time (in hours) 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 hours? Do not round any intermediate computations, and round your answer to the nearest tenth. 2 mm の ojo X
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