The U.S. Bureau of the Census prediction for the percentage of the population 65 years and older can be modeled as p(x)0.00022x30.014x2- 0.0033x 12.236 percent where x is the number of years since 2000, data from 0 s x s 50.t Determine the value of x in the domain 0 x s 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
The U.S. Bureau of the Census prediction for the percentage of the population 65 years and older can be modeled as p(x)0.00022x30.014x2- 0.0033x 12.236 percent where x is the number of years since 2000, data from 0 s x s 50.t Determine the value of x in the domain 0 x s 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
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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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)0.00022x30.014x2- 0.0033x 12.236 percent
where x is the number of years since 2000, data from 0 s x s 50.t
Determine the value of x in the domain 0
x s 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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