According to one model, the future increases in average global temperatures (due to car- bon dioxide levels exceeding 280 parts per million) can be estimated using T = 6.5 In (C/280), where C is the concentration of atmospheric carbon dioxide in parts per million (ppm) and T is in degrees Fahrenheit. Let future amounts of carbon dioxide x years after 2000 be modeled by the formula C(x) = 364(1.005)^x.

(a) Use composition of functions to write T as a func- tion of x. Evaluate T when x = 100 and interpret the result. 

(b) Graph C(x) in [0, 200, 50] by [0, 1000, 100] and 7(x) in [0, 200, 50] by [0, 10, 1]. Describe each graph. 

(c) How does an exponential growth in carbon dioxide concentrations affect the increase in temperature?