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QuestionFind the increase in Chicago's African American population from 44,103 to 233,903 between 1910 and 1930. Calculate the rate of change.

Studdy Solution

STEP 1

Assumptions1. The African American population of Chicago in1910 was44,103. The African American population of Chicago in1930 was233,9033. The rate of increase was constant over this time period

STEP 2

First, we need to find the increase in population. We can do this by subtracting the population in1910 from the population in1930.
Increase in population=Population in 1930−Population in 1910Increase\, in\, population = Population\, in\,1930 - Population\, in\,1910

STEP 3

Now, plug in the given values for the population in1930 and1910 to calculate the increase in population.
Increase in population=233,903−44,103Increase\, in\, population =233,903 -44,103

STEP 4

Calculate the increase in population.
Increase in population=233,903−44,103=189,800Increase\, in\, population =233,903 -44,103 =189,800

STEP 5

Now that we have the increase in population, we can find the rate of change of the population. This can be done by dividing the increase in population by the number of years over which the increase occurred.
Rate of change=Increase in population/Number of yearsRate\, of\, change = Increase\, in\, population / Number\, of\, years

STEP 6

The number of years over which the increase occurred is the difference between1930 and1910.
Number of years=1930−1910=20 yearsNumber\, of\, years =1930 -1910 =20\, years

STEP 7

Now, plug in the values for the increase in population and the number of years to calculate the rate of change.
Rate of change=189,800/20Rate\, of\, change =189,800 /20

STEP 8

Calculate the rate of change of the population.
Rate of change=189,800/20=,490Rate\, of\, change =189,800 /20 =,490The increase in the African American population of Chicago between1910 and1930 was189,800. Assuming a constant rate of increase over this time period, the rate of change of the African American population of Chicago was,490 per year.

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