MATH 106 NAME: LAB #1 DATE: CLIMATE CHANGE LAB To avoid a climate catastrophe, the IPCC has recommended that carbon diox

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MATH 106 NAME: LAB #1 DATE: CLIMATE CHANGE LAB To avoid aclimate catastrophe, the IPCC has recommended that carbon dioxideemissions be lowered to 0.9 metric ton per person per year by 2050.Developed countries’ carbon dioxide emissions are about 9.9 metrictons per person per year. So, these countries will have to reducetheir per-person emissions significantly while trying to sustaintheir relatively strong economies. The United States with carbondioxide emissions of 17.0 metric tons per person per year, willhave to reduce its emissions drastically. * Developing countries’carbon dioxide emissions are about 3.9 metric tons per person peryear. Due to their already low per-person emissions, it seems thesecountries will have an easier time meeting IPCC’s goal thandeveloping countries. However, by 2050, many such countries willhave become developed countries, and their economies will havebecome much stronger. As a result of this growth, their carbondioxide emissions will greatly increase without intervention. **For example, China’s carbon dioxide emissions were only 1.15 metrictons per person in 1990. Due to China’s booming economy, however,the country’s carbon dioxide emissions in 2050 may reach 41.5metric tons per person per year—more than 36 times the 1990per-person level. This large increase in per-person carbon dioxideemissions will be amplified by a population increase of 480 millionpeople in those 60 years (from 0.98 billion to 1.46 billion). ***An analysis of the data in Table 37 shows that developingcountries’ carbon dioxide emissions are generally increasing, butdeveloped countries’ carbon dioxide emissions are generallydecreasing. This is occurring not only because developing countriesare becoming more industrialized, but also because theirpopulations are increasing significantly. Developed countries’economies and populations are growing at a much slower rate; infact, most developed countries’ populations will begin to declineslowly after 2020. **** Many challenges lie ahead for developed anddeveloping countries, both of which will need to develop efficientsystems that rely on alternative energy sources whenever possible.Citizens of developed countries will have the extra challenges offoregoing certain conveniences that up until now have been takenfor granted. Developing countries will have the extra challenge ofharnessing large population growths. *International Energy Agency,“CO2 Emissions from Fuel Combustion Highlights,” 2011. **CarbonDioxide Information Analysis Center (CDIAC). ***United NationsPopulation Division. ****U.S. Census Bureau.
In this lab, you will explore equations of linear models,scatterplots, slopes, and solving systems of equations. Be sure tofully answer each of the following questions completely with thenecessary work included. Analyzing the Situation
1. Let c be the carbon dioxide emissions (in billion metrictons) of developed countries in the year that is t years since2000. Find an equation of a model to describe the data.
2. Let c be the carbon dioxide emissions (in billion metrictons) of developing countries in the year that is t years since2000. Find an equation of a model to describe the data.
3. Graph the models and the scatterplots in one coordinatesystem by hand. Make sure it is clear which data points are for thedeveloped countries and the developing countries. How well do themodels fit the data? 4. Compare the slopes of both models. Whatdoes the comparison tell you about the situation?
5. Explain why developing countries’ carbon dioxide emissionsare generally increasing, but developed countries/ carbon dioxideemissions are generally decreasing.
6. Use substitution or elimination to estimate when developingcountries’ carbon dioxide emissions were equal to developedcountries’ carbon dioxide emissions. What is that carbon dioxideemission value?
7. Use the result you found in Problem 6 to estimate theper-person carbon dioxide emissions in the year when developingcountries’ carbon dioxide emissions were equal to developedcountries’ carbon dioxide emissions.
8. What are the challenges that lie ahead in trying to reducecarbon dioxide emissions? What challenges are unique to developedcountries? To developing countries?