(Refer to Exercise 75.) According to one study by the IPCC, future increases in average global temperatures (in °F) can be modeled by

where C is the concentration of atmospheric carbon dioxide (in ppm). C can be modeled by the function

C(x) = 353(1.006)^x-1990,

where x is the year.

(a) Write T as a function of x.

(b) Using a graphing calculator, graph C(x) and T(x) on the interval [1990, 2275] using different coordinate axes. Describe the graph of each function. How are C and T related?

(c) Approximate the slope of the graph of T. What does this slope represent?

(d) Use graphing to estimate x and C(x) when T(x) = 10°F.

Transcribed Image Text:

= 6.489 In T(C) 280