Carbon Dioxide Levels (in ppm) at Manna Loa Observatory, 1959-2021 http://scrippscoZ.ucsd.edu/graphics galleryfmauna loa record/manna loa seas adj fossil fuel trend Manna Loo Observatory. I-leweii Monthly Average Carbon Dioxide Concentration Seasonally Minsted and Fossil Fuel Trend Dmlmwcoiwm mmmmr 5 I1 9 (2111i2 Concentration (ppm) E 3 g g 5 E E E u 0 11sec INS \"7|! lm I\" INS 1W stmoawsamu mam Year 1. Linear growth model. Please show all work clearly and give each answer as a complete sentence with appropriate units. 1. Assuming a linear growth model, nd an equation that predicts the C02 level, P(t), in terms of time t, where t is the number of years since 1959 and P(r) is the C02 concentration in parts per million. For this analysis, you will choose two points that you think may be the most reective for this data set. It may be helpful for you and a class partner to use the same two points so that you can compare results. The equation we will be U53ng is P{t|= f = # of years '5:an 1959' (time) 2. Based on your results from (1), what would be the predicted C02 level in the year 2050? 3. Based on your results from (1), when would the C02 level reach 500 ppm? II. Exponential growth model. Please show all work clearly and give each answer as a complete sentence with appropriate units. 1. Assuming an exponential growth model, nd an equation that predicts the C02 level, P0), in terms of time t, where I is the number of years since 1959 and P0) is the C02 concentration in parts per million. For this analysis, please use the same two points that you used for the linear model. As before, it may be helpful for you to work with a class partner so that you can compare results. 2. Based on your results from (1), what would be the predicted CO2 level in the year 2050'? 3. Based on your results from (1), when would the C02 level reach 500 ppm? 11!. Comparing Models. Complete the table below based on your previous results. Comparing Mathematical Models for Predictingl C02 Levels m . . | ., . 11!. Comparing Models. Complete the table below based on your previous results. Comparing Mathematical Models for Predictin C02 Levels Mathematical Two pm\"? Mathematical C02 level Year \"'1'"? Doubling used for . . C02 level ls . Model . Equation in 2050 Period analys1s 500 ppm Linear ' Model ( , ) Exponential Model IV. Briey discuss the validity of the conclusions from one of these two reports: https :f/www .scientificamerican .Comfarticle/co2-levels-just-hit another-record-heres-why-it-matters/ https://www .sciencenews .org/article/COZ-emissions-global-warming V. Linking models to logic. 1. The C02 level has been increasing since 1960. (B) The rate of growth has been consistent or increasing over that time. (C) This C02 level increase is a direct result of the use of fossil fuels. (D) Human life on earth may not be sustainable due to increasing CO2 levels. (E) Continued use of fossil fuels will eventually kill human life on earth. a. Which sentence(s) is/are the issue? premises? conclusion? b. Is this an example of inductive or deductive logic? c. Is the conclusion valid? 2. Consider the argument below. (A) A good model for measuring the C02 level at the ML lab. is P0) = PD e\