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Farmers wishing to avoid the use of purchased seeds are increasingly concerned about inadvertently growing hybrid...

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Basic Math

Farmers wishing to avoid the use of purchased seeds areincreasingly concerned about inadvertently growing hybrid plants asa result of pollen drifting from nearby farms. Assuming that thesefarmers raise their own​ seeds, the fractional portion of theircrop that remains free of hybrid plants t years later can beapproximated by ​P(t)=(0.93)^ t.

​a) Using this​ model, predict the fractional portion of thecrop that will be free of hybrid plants 10 yr after a neighboringfarm begins to use purchased seeds.

​b) Find P' (10) and explain its meaning.

​c) When will half of the crop be hybrid​ plants?

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