p t = 90,000 1.06 t The given function p models the population of Lowell t years after a census.

Question

p t = 90,000 1.06 t The given function p models the population of Lowell t years after a census. Which of the following functions best models the population of Lowell m months after the census?

Accepted Answer

Choice D is correct. It&rsquo;s given that the function p models the population of Lowell t years after a census. Since there are 12 months in a year, m months after the census is equivalent to m 12 years after the census. Substituting m 12 for t in the equation p t = 90,000 1.06 t yields p m 12 = 90,000 1.06 m 12 . Therefore, the function r that best models the population of Lowell m months after the census is r m = 90,000 1.06 m 12 . Choice A is incorrect and may result from conceptual or calculation errors. Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors.

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