(a) Suppose that the consumption of aluminum were growing

Chapter 5, Problem 42

(choose chapter or problem)

(a) Suppose that the consumption of aluminum were growing exponentially. Use the formula for T in Exercise 41 to compute the life expectancy of aluminum and the depletion year. (b) What if the world reserves for aluminum were actually twice that listed in the table, and the relative growth rate were half that in the table? Compute the depletion year under this scenario. (c) Suppose that from 1999 onward, consumption of aluminum stopped increasing exponentially and stabilized at the 1999 level of 23.1 million metric tons per year. How many years would it take to deplete the world reserves of 34,000 million metric tons?

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