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A city has a population of 250,000. The population is expected to decrease 1.5% annually for the next decade. Write a function that represents this situation.

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sam4040

Answer:

Population after [tex]t\ years=250000\times (0.985)^t[/tex]

Step-by-step explanation:

If [tex]P[/tex] is the initial amount, [tex]r[/tex] is the annual rate of decrease then after [tex]t[/tex] years the remaining amount[tex](A)[/tex] will be given by

[tex]A=P(1-\frac{r}{100})^t[/tex]

Here [tex]P=250000, r=1.5\%\\\\A=250000(1-\frac{1.5}{100})^t\\\\A=250000(1-0.015)^t\\\\A=250000\times (0.985)^t[/tex]

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