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Mathematics, 14.11.2019 23:31 tomtom7243

As the number of farms has decreased in the united states, the average size of the remaining farms has grown larger, as shown in the following table:

year | average acreage per farm

1900 | 147

1910 | 139

1920 | 149

1930 | 157

1940 | 174

1950 | 213

1960 | 297

1970 | 374

1980 | 426

1990 | 460

1995 | 438

2000 | 436

2003 | 441

2005 | 445

2009 | 418

2013 | 435

a) use a graphing calculator to fit quadratic, cubic, and quartic functions to the data. let x represent the number of years since 1900. using r^2-values, determine which function is the best fit.

b) using the function found in part (a), estimate the average acreage in 1955, 1998, and 2011.

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