# The U.S. Bureau of the Census prediction for the percentage of the population 65 years and ol der can be modeled asp(x)-0.0002 2x3 0.014x2 - 0.0033x + 12.236 percentwhere x is the number of years since 2000, data from 0 s x S 50.Determine the value of x in the domain 0 s x50 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?2021XCalculate the percentage at that time. (Round your answer to two decimal places.)16.37%Calculate the rate of change of the percentage at that time. (Round your answer to three decimal places.)0.294percentage points per year

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Step 1

Given, the percentage of population 65 years or older can be modeled as

Step 2

(a)

Step 3

We will find the critical points...

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