A bacteria culture starts with 560 bacteria and grows at a rate proportional to its size. After 4 hours there will be 2240 bacteria. (a) Express the population after t hours as a function of t. population: (function of t) (b) What will be the population after 9 hours? (c) How long will it take for the population to reach 2270 ?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
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A bacteria culture starts with
560 bacteria and grows at a rate proportional
to its size. After
4 hours there will be
2240 bacteria.
(a) Express the population after
t hours as a function of
t.
population:
(function of t)
(b) What will be the population after
9 hours?
(c) How long will it take for the population to
reach
2270 ?
Transcribed Image Text:A bacteria culture starts with 560 bacteria and grows at a rate proportional to its size. After 4 hours there will be 2240 bacteria. (a) Express the population after t hours as a function of t. population: (function of t) (b) What will be the population after 9 hours? (c) How long will it take for the population to reach 2270 ?
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