The population (in millions) of a certain country can be approximated by thefunction:P(x) = (100)1.02^xwhere x is the number of years after 2000. Which of the following calculations will tell in what year the population can be expected to reach 300 million?
Accepted Solution
A:
Answer:year 2343Step-by-step explanation:The population (in millions) of a certain country can be approximated by thefunction:P(x) = (100)*1.02^(x)where x is the number of years after 2000.If we want a population of 300 million300.10^6 = (100)*1.02^(x)3.10^6 = 1.02^(x)Which can be solved with a calculator or any computational tool. See attached picturesThe answer isx = 342.8042000 + 342.804 = 2342.804 ≈ 2343