SOLUTION: Between 1854 and 2002, carbon dioxide (CO2) concentration in the atmosphere rose from roughly 285 parts per million to 379 parts per million. Assume that this growth can be modeled

Algebra ->  Finance -> SOLUTION: Between 1854 and 2002, carbon dioxide (CO2) concentration in the atmosphere rose from roughly 285 parts per million to 379 parts per million. Assume that this growth can be modeled      Log On


   

Question 1130955: Between 1854 and 2002, carbon dioxide (CO2) concentration in the atmosphere rose from roughly 285 parts per million to 379 parts per million. Assume that this growth can be modeled with an exponential function 𝑄 = 𝑄0 × (1 + 𝑟)^𝑡
a. By experimenting with various values of the growth rate r, find an exponential equation that fits the data for 1854 and 2002.
b. Use this exponential model to predict when the CO2 concentration will double its 1854 level in what year?
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
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𝑄 = 𝑄0 × (1 + 𝑟)^𝑡
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v=v%5Bo%5D%281%2Br%29%5Et
t years since 1854
r as a decimal fraction
v%5Bo%5D=285for year 1854

285%281%2Br%29%5E148=379
solveforr.
log%281%2Br%29=%281%2F148%29%2Alog%28%28379%2F285%29%29
log%28%281%2Br%29%29=0.000836448
1%2Br=1.0019278
r=0.193percent

model: highlight%28v=285%281.0019278%29%5Et%29


Predict When v=570 parts per million:
%281.0019278%29%5Et=2
Take logs of both sides and find t.