The population of a city is modeled by the equation P(t)=235,775e^0.25t where t is measured in years. If the city continues to grow at this rate, how many years will it take for the population to reach one million?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
The population of a city is modeled by the equation P(t)=235,775e^0.25t where t is measured in years. If the city continues to grow at this rate, how many years will it take for the population to reach one million?
Round your answer to the nearest hundredth of a year (i.e. 2 decimals).
The population will reach one million in years.
Show your work and explain, in your own words, how you arrived at your answer. Answers with no relevant explanations may receive reduced or no credit.
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