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the given amount of time The population of a small town is 1600 and is increasing at a rate of 3% per year; 10 years.

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To calculate the population of the small town after 10 years with a growth rate of 3% per year, you can use the formula for exponential growth:

P(t)=P0×(1+r)t

Where:

P(t) is the population after time t years.

P(0) is the initial population (1600 in this case).

r is the growth rate (3% or 0.03 as a decimal).

t is the time in years (10 years in this case).

Plugging in the values:

P(10)=1600×(1+0.03)10P(10)=1600×(1+0.03)10

P(10)=1600×1.0310P(10)=1600×1.0310

P(10)=1600×1.34391736841P(10)=1600×1.34391736841

P(10)≈2142.27P(10)≈2142.27

So, the estimated population of the small town after 10 years, with a growth rate of 3% per year, would be approximately 2142.27 people.

User Benjamin Pollack
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