The function #f(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 #200# and population after #2,4,6,8,and 10# years are #241,291,350,423 and 509# respectively.

Explanation:

Population function of village is #f(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 #200#and population after #2,4,6,8,and 10#

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