A certain county in Nevada is one of the fastest-growing metropolitan areas in the United States. The population of this county from 1970 through 2010 is approximated by the function   P(t) = 45,139t3 − 91,394t2 + 234,633t + 273,288    (0 ≤ t ≤ 4)   where t is measured in decades, with t = 0 corresponding to the beginning of 1970.   Find when the population is increasing or decreasing at the slowest pace. Hint: Find the inflection point of P in the interval (0, 4). (Round you answer to two decimal places.) t=

Algebra and Trigonometry (MindTap Course List)
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Chapter3: Polynomial And Rational Functions
Section3.2: Polynomial Functions And Their Graphs
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Population Growth in Clark County

 A certain county in Nevada is one of the fastest-growing metropolitan areas in the United States. The population of this county from 1970 through 2010 is approximated by the function
 
P(t) = 45,139t3 − 91,394t2 + 234,633t + 273,288    (0 ≤ t ≤ 4)
 
where t is measured in decades, with t = 0 corresponding to the beginning of 1970.
 
Find when the population is increasing or decreasing at the slowest pace. Hint: Find the inflection point of P in the interval (0, 4). (Round you answer to two decimal places.)
t=
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