The function f(x) = 200 × (1.098)^xf(x)=200×(1.098)x represents a village's population while it is growing at the rate of 9.8% per year. How do you create a table to show the village's population at 0, 2, 4, 6, 8, and 10 years from now?

1 Answer
Jul 9, 2018

Initial population is 200200 and population after 2,4,6,8,and 102,4,6,8,and10 years are 241,291,350,423 and 509241,291,350,423and509 respectively.

Explanation:

Population function of village is f(x)=200(1.098)^x ; xf(x)=200(1.098)x;x

represents the number of year after now. .

Initial population: x=0 :.f(x)=200(1.098)^0 =200

Population after 2 years : x=2 :.f(2)=200(1.098)^2 ~~241

Population after 4 years : x=4 :.f(4)=200(1.098)^4 ~~291

Population after 6 years : x=6 :.f(6)=200(1.098)^6 ~~350

Population after 8 years : x=8 :.f(8)=200(1.098)^8 ~~423

Population after 10 years : x=10 :.f(10)=200(1.098)^10 =509

Initial population is 200and population after 2,4,6,8,and 10

years are 241,291,350,423 and 509 [Ans]