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 mm² and an observed doubling time of 22 days. (a) Lett be the time (in days) passed, and let y be the area of the sample 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. y = = De D₂ (b) What will the area of the sample be in 9 days? Do not round any intermediate computations, and round your answer to the nearest tenth. 2 mm 00 Olno ?

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 mm²
m² and an observed doubling time of 22 days.
(a) Lett be the time (in days) passed, and let y be the area of the
sample 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.
y = e
(0)
(b) What will the area of the sample be in 9 days?
Do not round any intermediate computations, and round your
answer to the nearest tenth.
2
mm
00
X
In
3
?
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 mm² m² and an observed doubling time of 22 days. (a) Lett be the time (in days) passed, and let y be the area of the sample 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. y = e (0) (b) What will the area of the sample be in 9 days? Do not round any intermediate computations, and round your answer to the nearest tenth. 2 mm 00 X In 3 ?
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