The population of a town in California is modeled by the function $f(x)=15,821(1.044)^{x}$. If the initial population (that is, the population when $x=0$ ) was measured January 1, 2012, what will the population be on January 1, 2027? Round your answer to the nearest whole number, if necessary.
Answer

Step 1 ：The population of a town in California is modeled by the function \(f(x)=15,821(1.044)^{x}\). If the initial population (that is, the population when \(x=0\) ) was measured January 1, 2012, what will the population be on January 1, 2027? Round your answer to the nearest whole number, if necessary.

Step 2 ：The question is asking for the population of the town on January 1, 2027. The function \(f(x)=15,821(1.044)^{x}\) models the population of the town, where \(x\) is the number of years since January 1, 2012. To find the population on January 1, 2027, we need to substitute \(x=2027-2012=15\) into the function and calculate the result.

Step 3 ：\(f(15)=15,821(1.044)^{15}\)

Step 4 ：Calculate the above expression to get the population in 2027.

Step 5 ：Final Answer: The population of the town on January 1, 2027 will be \(\boxed{30182}\).