necpts developed in Precalculus to HIUdel aIi uctuul make a prediction. In this case we will model global warming The data: The following table summarizes the average yearly temperature (F")and carbon di emissions in parts per million (ppm) measured at Mauna Loa, Hawaii Year 1960 1965 1970 1975 1980 1985 1990 1995 2000 Temperature 44.45 43.29 43.61 320.0 325.7 45.71 45.53 345.9 354.2 43.35 46.66 47.53 45.86 CO2 316.9 331.1 338.7 360.6 369.4 Emissions Defining our variables: t = years after 1960, T = Temperature, and C = CO2 emissions. %3D We will use the data from the years 1960 and 1990 for our models. That is, for t = 0, T = 44.45 and C = 316.9 while for t = 30, T = 45.53 and C 354.2 Describe the Relationship 1) Modeling Temperature a) Use the data from 1960 and 1990 to find a linear function that model Temperature b) Use your linear function to predict the Temperature in 2005. Compa prediction with the actual Temperature in 2005. c) On graph paper, plot the entire set of temperature data from 1960 t On the same axis, plot your function from part (a) with at least 4 act the graph to give it some adequate scale. Discuss the similarities an the graph and the data. How well does your function approximate t

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Please help with number 1 portion a b and c
pts developed in Precalculus to HIUdel an uctuur
make a prediction. In this case we will model global warming
The data: The following table summarizes the average vearly temperature (F')and carbon dioxide
emissions in parts per million (ppm) measured at Mauna Loa, Hawail
Year
1960
1965
1970
1975
1980
1985
1990
1995
2000
2005
Temperature 44.45
43.29
43.61
43.35
46.66 45.71
45.53
47.53
45.86
46.23
CO2
316.9
320.0
325.7
331.1
338.7
345.9
354.2
360.6
369.4
379.7
Emissions
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.
That is, for t = 0, T = 44.45 and C = 316.9 while for t = 30, T = 45.53 and C = 354.2
Describe the Relationship
1) Modeling Temperature
a) Use the data from 1960 and 1990 to find a linear function that models the
Temperature
b) Use your linear function to predict the Temperature in 2005. Compare your
prediction with the actual Temperature in 2005.
c) On graph paper, plot the entire set of temperature 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:pts developed in Precalculus to HIUdel an uctuur make a prediction. In this case we will model global warming The data: The following table summarizes the average vearly temperature (F')and carbon dioxide emissions in parts per million (ppm) measured at Mauna Loa, Hawail Year 1960 1965 1970 1975 1980 1985 1990 1995 2000 2005 Temperature 44.45 43.29 43.61 43.35 46.66 45.71 45.53 47.53 45.86 46.23 CO2 316.9 320.0 325.7 331.1 338.7 345.9 354.2 360.6 369.4 379.7 Emissions 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. That is, for t = 0, T = 44.45 and C = 316.9 while for t = 30, T = 45.53 and C = 354.2 Describe the Relationship 1) Modeling Temperature a) Use the data from 1960 and 1990 to find a linear function that models the Temperature b) Use your linear function to predict the Temperature in 2005. Compare your prediction with the actual Temperature in 2005. c) On graph paper, plot the entire set of temperature 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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