The ever-increasing amount of carbon dioxide in Earths atmosphere is an area of concern for many scientists. In order to more accurately predict what the future consequences of this could be, scientists make mathematic models to extrapolate past increases into the future. A model developed to predict the annual mean carbon dioxide level L in Earths atmosphere in parts per million t years after 1960 is L(t)=36.9 x e^(0.0223t) +280 A. Use the function L(t) to describe the graph of L(t) as a series of transformations of f(t)=e^t B. Find and interpret L(80), the carbon dioxide level predicted for the year 2040. How does it compare to the carbon dioxide level in 2015? C. Can L(t) be used as a model for all positive values of t? Explain.
+129849 Here is the graph of the given function and its parent.......along with the graph of y = 1000000...
https://www.desmos.com/calculator/th77072kjr
The given function rises much less steeply than the parent function, e^t...... [largely because the exponent constant on e is much less than 1]....
At L(80), [ the year 2040], the concentration level per million will be about 500 parts per million
In 2015, t = 55, and the concentration level per million was about 406 ppm
The graph cannot be used for all t, because for all t > 458 , the ppm count will exceed 1 million, which is impossible.....thus....this model will be invalid after the year 2418 [approx.]
