(Modeling) Number of Farms in the United States The graph shows the number of farms in the...

(Modeling) Number of Farms in the United States The graph shows the number of farms in the United States since 1935for selected years. The polynomial

.00002059 1075x3 − .1201456829x2 − + 233.5530856x − 151,249.8184

provides a good approximation of the number of farms for these years by substituting the year for x and evaluating the polynomial. For example, if x = 1987, the value of the polynomial is approximately 1.9, which differs from the data in the bar graph by only .2.

Evaluate the polynomial for each year and then give the difference from the value in the graph.

Source: U.S. Census Bureau.

1940