Greenhouse Gases If current trends continue, future concentrations of atmospheri

ID: 3105809 • Letter: G

Question

Greenhouse Gases
If current trends continue, future concentrations of atmospheric CO2 in ppm could reach levels show below:

CO2 in 2000 was greater than any of the previous 160,000 years.

Let x be years

x = 0 (2000)

x = 1 (2001)

and so on...

Find values for C and a so that f(x)=Cax

and graph f and the data in the same viewing rectangle

Now starting with the basics (would it start):

f(0) = Ca0

f(50) = Ca50 etc?

IF so hwo do I find C and a?

Otherwise, please guide me (step by step)...

Year 2000 2050 2100 2150 2200 CO2 ppm 364 467 600 769 987

f(x) = Ca^x

f(0) = Ca^0 = C

f(0) = 364

C = 364

f(x) = 364a^x

f(50) = 364a^50

f(50) = 467

364a^50 = 467

a^50 = 467/364

a = (467/364)^(1/50)

f(x) = 364[(467/364)^(1/50)]^x

f(x) = 364(467/364)^(x/50)

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