The U.S. Bureau of the Census prediction for the percentage of the population 65 years and older can be modeled as p(x) = -0.00022x3 + 0.014x2 - 0.0033x + 12.236 percent where x is the number of years since 2000, data from 0 sxS 50.t Determine the value of x in the domain 0 s xs 50 for which the percentage is predicted to be increasing most rapidly (Round your answer to three decimal places). Thus, in which year is the percentage is predicted to be increasing most rapidly? Calculate the percentage at that time. (Round your answer to two decimal places.) Calculate the rate of change of the percentage at that time. (Round your answer to three decimal places.) percentage points per year

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 16TI: Recent data suggests that, as of 2013, the rate of growth predicted by Moore’s Law no longer holds....
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The U.S. Bureau of the Census prediction for the percentage of the population 65 years and older can be modeled as
p(x) = -0.00022x3 + 0.014x2 - 0.0033x + 12.236 percent
where x is the number of years since 2000, data from 0 sxS 50.t
Determine the value of x in the domain 0 s xs 50 for which the percentage is predicted to be increasing most rapidly (Round your answer to three decimal places).
Thus, in which year is the percentage is predicted to be increasing most rapidly?
Calculate the percentage at that time. (Round your answer to two decimal places.)
Calculate the rate of change of the percentage at that time. (Round your answer to three decimal places.)
percentage points per year
Transcribed Image Text:The U.S. Bureau of the Census prediction for the percentage of the population 65 years and older can be modeled as p(x) = -0.00022x3 + 0.014x2 - 0.0033x + 12.236 percent where x is the number of years since 2000, data from 0 sxS 50.t Determine the value of x in the domain 0 s xs 50 for which the percentage is predicted to be increasing most rapidly (Round your answer to three decimal places). Thus, in which year is the percentage is predicted to be increasing most rapidly? Calculate the percentage at that time. (Round your answer to two decimal places.) Calculate the rate of change of the percentage at that time. (Round your answer to three decimal places.) percentage points per year
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