The population of a city is a discrete amount. At any given time, the population of a city describes a discrete amount of members because the population of a city is a whole integer. However, over a given period of time, the population of a city cannot be said to be a discrete amount because it varies with respect to time.
There is a measure of inaccuracy in the signs that designate the population count of a city at its border. This is due to the fact that after the sign is posted, there is an amount of time for the population count to waiver due to recurring births and deaths within the city limits. It would be reasonable to assume that the innacuracy of a population count sign is directly related to the rate at which the population is changing.
The rate of change of the population growth rate for a designated region has increased exponentially in recent years. As a result, population signs are exceptionally inaccurate these days.
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