The amount of land in use for growing crops increasesas the worlds population increases
Chapter 11, Problem 33(choose chapter or problem)
The amount of land in use for growing crops increasesas the worlds population increases. Suppose A(t) representsthe total number of hectares of land in use in yeart. (A hectare is about 2 12 acres.)(a) Explain why it is plausible that A(t) satisfies theequation A(t) = kA(t). What assumptions are youmaking about the worlds population and its relationto the amount of land used?(b) In 1966 about 4.55 billion hectares of land were inuse; in 1996 the figure was 4.93 billion hectares.35 Ifthe total amount of land available for growing cropsis thought to be 6 billion hectares, when does thismodel predict it will be exhausted? (Let t = 0 in1966.)
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