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 sxs 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

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 35EQ
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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 sxs 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 sxs 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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