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Provide an appropriate response.The population of a town with a 2000 population of 65,476 grows at a rate of 2.9% per year. Create an exponential function of the form Pn = P0 x (1 + r)n.Group of answer choicesPn = 65,476 (0.942)nPn = 65,476 (0.971)nPn = 65,476 (1.029)nPn = 65,476 (3.9)n

Question

Provide an appropriate response.The population of a town with a 2000 population of 65,476 grows at a rate of 2.9% per year. Create an exponential function of the form Pn = P0 x (1 + r)n.Group of answer choicesPn = 65,476 (0.942)nPn = 65,476 (0.971)nPn = 65,476 (1.029)nPn = 65,476 (3.9)n

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Solution

The correct response is Pn = 65,476 (1.029)n. This is because the population is growing at a rate of 2.9% per year, which is represented as 0.029 in decimal form. Adding this to 1 gives 1.029. Therefore, the exponential function representing this population growth is Pn = 65,476 (1.029)n.

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