P(x)=2,500(0.98)xThe function models P, the population of the village of Kalm x years after 1997. Based on the model, what is the population of Kalm 18 years after 1997 ?Choose 1 answer:(A) 2,450(B) 2,127(C) 1,846(D) 1,738
Q. P(x)=2,500(0.98)xThe function models P, the population of the village of Kalm x years after 1997. Based on the model, what is the population of Kalm 18 years after 1997 ?Choose 1 answer:(A) 2,450(B) 2,127(C) 1,846(D) 1,738
Identify Function and Value: Identify the given function and the value to substitute for x.The function given is P(x)=2,500(0.98)x, which models the population of the village of Kalm x years after 1997. We need to find the population 18 years after 1997, so we will substitute x with 18.
Substitute x with 18: Substitute x with 18 in the function to calculate the population.P(18)=2,500(0.98)18
Calculate (0.98)18: Calculate the value of (0.98)18. Using a calculator, we find that (0.98)18≈0.689478.
Multiply by 2,500: Multiply the result from Step 3 by 2,500 to find the population.P(18)=2,500×0.689478≈1,723.695
Round to Nearest Whole Number: Round the result to the nearest whole number, as population is typically expressed as a whole number.P(18)≈1,724
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