A chemical reagent is introduced into a bacterial population, and t hours later the number of bacteria (in thousands) is N(t) = 1200+ 21t² - t³ (for 0 ≤ t ≤ 21). (a) When will the population be the largest? t = How large will it be? thousand bacteria (b) When will the population be growing at the fastest rate? t = How fast? thousand bacteria per hour What word applies to such a point? O critical point O maximum point O inflection point O rate point O minimum point

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter7: Exponents And Exponential Functions
Section7.8: Transforming Exponential Expressions
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A chemical reagent is introduced into a bacterial population, and t hours later the number of bacteria (in thousands) is
N(t) = 1200 + 21t² – t³ (for 0 ≤ t ≤ 21).
(a) When will the population be the largest?
t
=
How large will it be?
(b) When will the population be growing at the fastest rate?
t
=
thousand bacteria
How fast?
thousand bacteria per hour
What word applies to such a point?
O critical point
O maximum point
O inflection point
O rate point
O minimum point
Transcribed Image Text:A chemical reagent is introduced into a bacterial population, and t hours later the number of bacteria (in thousands) is N(t) = 1200 + 21t² – t³ (for 0 ≤ t ≤ 21). (a) When will the population be the largest? t = How large will it be? (b) When will the population be growing at the fastest rate? t = thousand bacteria How fast? thousand bacteria per hour What word applies to such a point? O critical point O maximum point O inflection point O rate point O minimum point
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