In year = 0 a lake is estimated to have about 3500 trout

Chapter , Problem 4.2.42

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In year = 0 a lake is estimated to have about 3500 trout in it. Ten years later, at = 10, the population of trout is believed to be about 1700. (a) Write a formula for the size of the population as a function of year if we assume the decrease is linear. What is the rate of change, in fish per year, of the function over the ten-year period? (b) Write a formula for the size of the population as a function of year if we assume the decrease is exponential. What is the percent rate of change, in percent per year, of the function over the ten-year period? (c) Graph the two functions on the same coordinate system. Indicate the points at = 0 and = 10.

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