Answer:
In 10 years there will be a population of roughly 21,589 people
Step-by-step explanation
The population of the Small town in Texas starts with a population of 10,000 people and grows at a rate of 8% per year, we need to find what the population will be in 10 years. We can calculate this using the Exponential Growth Formula which is the following
[tex]y = a(1+r)^{t}[/tex]
Where y is the population at the end of the time period, a is the initial population, r is the rate of growth, and t is the time in years. Since we are given the rate and initial population we can plug that into the formula to solve to the total population in 10 years (y).
[tex]y = 10,000*(1+0.08)^{10}[/tex]
[tex]y = 10,000(1.08)^{10}[/tex]
[tex]y = 10,000 * 2.1589[/tex]
[tex]y = 21,589[/tex]
So in 10 years there will be a population of roughly 21,589 people in the small Texan town.
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