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The percentage of southern Australian grasshopper eggs that hatch as a function of temperature (for temperatures between 7C and 25C) can be modeled as

 

The percentage of southern Australian grasshopper eggs that hatch as a function of temperature (for temperatures between 7C and 25C) can be modeled as g(t) = -0.0065t +0.49t-13t +136.3t-394% where t is the temperature in C, data from 7 t 25. (Source: Based on information in George L. Clarke, Elements of Ecology, New York: Wiley, 1954, p. 170). a. What temperature between 7C and 25C corresponds to the greatest percentage of eggs hatching? What is the percentage at this input? Answer b. What temperature between 7C and 25C corresponds to the least percentage of eggs hatching? What is the percentage at this input?

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