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The population of a town can be modeled by f(x) = 19,820 * 0.98^x. Identify the initial value of the population. Is the population increasing or decreasing? What is the growth or decay factor? How does the population change each year?

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5 votes

Answer:

all ik is that its increasing i think

Explanation:

User Eoinii
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Therefore, The town initially has a population of 19,820.

The population is unfortunately decreasing at a rate of 2% annually.

Each year, the town loses roughly 396 people.

To determine this

The population of the town over time is effectively modeled by the function f(x) = 19,820 * 0.98^x, where:

x is the number of years that have elapsed since the first measurement.

19,820 people were living in the town when it first opened.

The growth/decay factor, which shows the annual percentage change in population, is represented by 0.98.

Consequently:

19,820 were the initial population (obtained when x = 0).

Trend of Population Declines. In the long run, the population declines because the growth factor (0.98) is less than 1.

Growth/Decay Factor: 0.98, indicating an annual 2% decline in population.

Annual Change in Population: -396 Individuals. The population in year 0 (19,820) is subtracted from the population one year later (0.98 * 19,820) to get this figure.

User Piphonom
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