ing Real World Relat Purpose: To use the concepts developed in Precalculus to model an actual make a prediction. In this case we will model global warming The data: The following table summarizes the average yearly temperature (F")and carbon dioxide 2005 Year 096 1965 S661 45.86 0007 46.23 Temperature 44.45 0661 47.53 45.53 emissions in parts per million (ppm) measured at Mauna Loa, Hawaii 1970 1975 1980 1985 CO2 379.7 43.29 369.4 43.61 320.0 325.7 331.1 45.71 99'9t 345.9 316.9 43.35 360.6 Emissions 354.2 338.7 Defining our variables: t = years after 1960, T = Temperature, and C = CO2 emissions. We will use the data from the years 1960 and 1990 for our models. Describe the Relationship That is, for t = 0, T = 44.45 and C = 316.9 while for t = 30, T = 45.53 and C = 354.2 dels the orature data Tre 2) Modeling CO2 emissions a) Use the data from 1960 and 1990 to find a linear function that models the CO2 emissions b) Use your linear function to predict the CO2 emissions in 2005. Compare your prediction with the actual CO2 emissions in 2005. omirrions data from 1960 throIueh 2005.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please help with number 2, portion a b and c.
The data: The summarizes the average dioxide
Defining our after T = and C = CO2 emissions.
deling Real World Relat
2005
Year
0007
0961
1965
S661
45.86
46.23
0661
45.53
Temperature
1980 1985
43.61 43.35 46,66 45.71
345.9
44.45
1970
1975
47.53
379.7
CO2
43.29
369.4
316.9
360.6
Emissions
320.0
325.7 331.1 338.7
354.2
Describe the Relationship
dels the
ejep o
2) Modeling CO2 emissions
a) Use the data from 1960 and 1990 to find a linear function that models the CO2
emissions
b) Use your linear function to predict the CO2 emissions in 2005. Compare your
prediction with the actual CO2 emissions in 2005.
c) On graph paper, plot the entire set of CO2 emissions data from 1960 through 2005.
On the same axis, plot your function from part (a) with at least 4 actual points on
the graph to give it some adequate scale. Discuss the similarities and differences of
the graph and the data. How well does your function approximate the actual data?
Transcribed Image Text:The data: The summarizes the average dioxide Defining our after T = and C = CO2 emissions. deling Real World Relat 2005 Year 0007 0961 1965 S661 45.86 46.23 0661 45.53 Temperature 1980 1985 43.61 43.35 46,66 45.71 345.9 44.45 1970 1975 47.53 379.7 CO2 43.29 369.4 316.9 360.6 Emissions 320.0 325.7 331.1 338.7 354.2 Describe the Relationship dels the ejep o 2) Modeling CO2 emissions a) Use the data from 1960 and 1990 to find a linear function that models the CO2 emissions b) Use your linear function to predict the CO2 emissions in 2005. Compare your prediction with the actual CO2 emissions in 2005. c) On graph paper, plot the entire set of CO2 emissions data from 1960 through 2005. On the same axis, plot your function from part (a) with at least 4 actual points on the graph to give it some adequate scale. Discuss the similarities and differences of the graph and the data. How well does your function approximate the actual data?
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