12.) The table below shows pork production in China from 2000 to 2007. Use a calculator to find the line of best fit. b. Use your linear model to predict how many metric tons of pork will be produced in 2025.
c. Use your linear model to predict when production is likely to reach 100,000 metric tons.
[Year: 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007
Production(metric tons): 40,475, 42,010, 43,413, 45,331, 47,177, 50,254, 52,407, 54,491.]

Question

12.) The table below shows pork production in China from 2000 to 2007. Use a calculator to find the line of best fit. b. Use your linear model to predict how many metric tons of pork will be produced in 2025.
c. Use your linear model to predict when production is likely to reach 100,000 metric tons.
[Year: 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007
Production(metric tons): 40,475, 42,010, 43,413, 45,331, 47,177, 50,254, 52,407, 54,491.]

anonymous · Answer

The Mathematica solution attached should get you started

anonymous · Answer

what do i do with all of that?

anonymous · Answer

@robtobey

anonymous · Answer

Out[4] is the equation of the line using a least squares fit from you data points.
Plug in a date, x, into the line equation and the value is the projected pork production.
The x axis, the horizontal one, is the year date dates.

The plot shows your points and the corresponding pork projection.
I plugged in 2025 for x in the equation and got 91099.3 metric tons.  (not shown on the attachment)

-4.06657*10^6+2053.17 x = 100000
The solution to the above is the year 2029.34 .

There, all of the questions posted in your problem have been answered.

If you still have questions, print out the attachment and show it to some fellow students if you are a student.

anonymous · Answer

it seems like it's not enough to write down. I need to show a lot of work.