Math 107

1) Use the United Nations’ prediction that the world population will be 9.3 billion in 2050 to verify the claim that per-person carbon dioxide emissions that year should be about 0.9 metric ton per person to meet the IPCC recommendation of a reduction to 40% of the 1990 level by then.2) Let g(t) be the US population (in billions) at t years since 1950. Create a scattergram of the data and then find the best fitting regression equation of g.3) a) Use your model g of Problem 3 to predict US population in 2011.b) Use your model h of Problem 2 Part 2 to predict the US carbon dioxide emission in 2011.c) Use your results from parts (a) and (b) to estimate US per-person carbon dioxide emission in 2011. Compare your results with the actual amount of 18.0 metric tons per person.d) Is the United States heading in the right direction to meet IPCC’s recommendation of 0.9 metric ton of carbon dioxide per person per year? Explain.4)  Use substitution or elimination method to predict when developing countries’ carbon dioxide emissions equal developed countries’ carbon dioxide emissions. What is the total worldwide (= developing + developed countries) carbon dioxide emission value then?5)Use your result from Problem 5 to predict the per-person carbon dioxide emissions in the year when developing countries’ carbon dioxide emissions will equal developed countries’ carbon dioxide emissions. Assume that the world population will be about 6.7 billion that year. Given that the carbon dioxide emissions in 2000 were 3.9 metric tons per-person, will per-person carbon dioxide emissions have increased or decreased by that year? Explain.

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