The United States Census Bureau data set for San José, California is as follows:

Question

The United States Census Bureau data set for San José, California is as follows: Date April 1, 1970 April 1, 1980 April 1, 1990 April 1, 2000 April 1, 2010 Population 445,779 629,442 782,225 894,943 945,942 2060. To design the An engineer was assigned to design a large water conduit (pipe) that would last until the year size of the conduit, she needed to compute the flow in the conduit flow required to serve the population in San José in the year 2060. She came up with a population estimate for San José of 2,429,000 in the year 2060 using a long-range population forecast method known as the "Simplified Method for Population Forecasts " given by the formula: Pn = Po(1 + R)" in which she used P, to be San Josée's population in the year 2010, P. is the forecasted population for the year 2060, and n is the number of forecast years What was the value of the population growth factor R that she used in her computation? figures in your answer for R. Show six (6) significant

Explanation / Answer

Solution:

The equation given is Pn = Po (1 + R)n

Po = Population of San José in the year 2010 = 945,942

Pn = Forecasted population of San José in 2060 = 2,429,000

n = number of forecast years = 2060 - 2010 = 50 years

Therefore, 2,429,000 = 945,942 x (1 + R)50

(1 + R)50 = 2,429,000 / 945,942

(1 + R) = (2,429,000 / 945,942 )1/50

       R = (2,429,000 / 945,942 )1/50 -1

       R = 1.9040068 % .

The population growth factor the engineer used was 1.9040068 %.

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