The table lists future concentrations of a certain greenhouse gas in parts per billion (ppb), if current trends continue.

Question

The table lists future concentrations of a certain greenhouse gas in parts per billion (ppb), if current trends continue.

 

a. Let x = 0 correspond to 2010 and x=20 correspond to 2030. Find C and a so that f(x) = Ca^x models the data.

b. estimate the gas concentration in 2023

 

 Year            2010       2015      2020        2025      2030

                                                                                   

 

Gas(ppb)       0.81        0.94       1.09        1.26       1.46

 

C=?      a ≈ ?

Answer 1

Keith,

To solve this problem, you will need to use the data set to find the exponential regression (line of best fit). That is your " C= " equation. The estimated gas concentration in 2023, will be the y-value in the ordered pair. (13, y) on the graph of that set.

Hope this helps, remember to show your work 

Patrick