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Look at the table given below that gives the population of the United States, the cost of the U.S. census, and the percentage increase of both variables for years beginning with 1950. Do you see any growth patterns in any of these variables? What growth model (if any) would you use to describe each variable?
United States Population and Cost of the Census
1950
151,325,798
14.9%
$91,462,000
35.4%
1960
179,323,175
18.5%
$127,934,000
39.9%
1970
203,302,031
13.4%
$247,653,000
93.6%
1980
226,542,199
11.4%
$1,078,488,000
335.5%
1990
248,718,301
9.8%
$2,492,830,000
131.1%
2000
281,421,906
13.1%
$4,500,000,000
80.5%
2010
308,400,408
9.6%
$13,000,000,000
188.9%
Source: U.S. Census Bureau.
The three different mathematical models the question is referring too are; linear growth, exponential growth, and logistical growth.
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