Hello, I'm studying for my math final next week and struggling with this problem I found online. I can't find any assistance, so I really need your help. If there's a way to explain how you did what you did, that would be helpful. Just trying to make sure I don't make any mistakes.
Exponential Modeling
Carbon dioxide (CO2) concentration in the atmosphere rose from roughly 290 parts per million in 1860 to 380 parts per million in 2010. Assume that this growth can be modeled with an exponential function of the form Q = Q0 × (1 + r)^t.
Task 1
By experimenting with various values of the fractional growth rate r, find an exponential function that fits the given data for 1860 and 2010. You may use a calculator.
Task 2
According to the Rule of 70 (pg. 483 of textbook), the doubling time is approximately Tdouble ≈ 70/r. Use your exponential model from Task 1 to predict when the CO2 concentration will be double its 1860 level. You may use the Rule of 70.
Task 3
Many nations have proposed or set precise goals for reductions in carbon dioxide emissions. Research the current goals of the United States. Are goals proposed in the past being met?