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The Population of a Particular City Is Increasing at a Rate

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The population of a particular city is increasing at a rate proportional to its size. It follows the function P(t) = 1 + ke0.08t where k is a constant and t is the time in years. If the current population is 22,000, in how many
Years is the population expected to be 55,000? Round to the nearest year.


Definitions:

Illusory Correlation

A cognitive bias that occurs when people perceive a relationship between two variables even when none exists, often leading to stereotyping or erroneous beliefs.

Variables

Elements, features, or factors that are likely to vary or change within the scope of a study, research, or experiment.

Scatterplot

A graphical representation that uses dots to show the relationship between two sets of data.

Psychology Exam

A formal assessment intended to measure an individual's knowledge, skills, or abilities in the field of psychology.

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