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.].

Answer 1

Using the linearization in this data through the  calculator program, we plug in the production in y and the year in x column. The equation is equal to y = 2053x + 39759. Hence after 25 years at 2025, production is  y = (2053)(25) + 39759 = 91084. To reach 100,000 metric tons, 100000 = 2053x + 39759, we need x years equal to 29.3 years, hence on year 2029.