The table shows the amount of milk that wisconsin dairy farms produced from 1940 to 1997. use a linear model to estimate mile production in 1990

From the given table, it can be seen, that the amount of milk that Winconsin diary farms produced in 1972 is 7 billion pounds and that the amount of milk that Winconsin diary farms produced in 1997 is 8 billion pounds.

Let x be the number of years after 1972, the line describing the equation of the line describing the amount of milk that Winconsin diary farms produced from 1972 to 1997 passes through the points (0, 7) and (25, 8) and the equation is given by:

[tex] \frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1} \\ \\ \Rightarrow \frac{y-7}{x-0} = \frac{8-7}{25-0} = \frac{1}{25} \\ \\ \Rightarrow y-7= \frac{1}{25} x \\ \\ \Rightarrow y= \frac{1}{25} x+7[/tex]

1990 is 18 years after 1972, thus the predicted amount of milk that Winconsin diary farms produced in 1990 is given by

[tex]y= \frac{1}{25} (18)+7 \\ \\ =0.72+7=7.72\ billion\ pounds[/tex]

From the answer options given the closes is 7.5