The data in the table show the population of a city for the past five years. A new water plant will be built when the population exceeds 1 million. Will the city need a new water plant in the next ten years?
Use a function model to justify your answer.
Year
Population
2016
794.000
803,000
2018
814,000
2019
822,000
Dx
C
2020
830,000
Produce a function model for the data. Let x be the number of years since 2016 and f(x) be the population, in hundreds of thousands of people. Select the correct choice below and fill in any answer boxes
to complete your choice.
(Type integers or decimals rounded to the nearest thousandth as needed.)
A. The exponential model f(x) =
OB. The quadratic model f(x) = (x
O c. The linear model f(x) = (x+
is the best fit for the data.
is the best fit for the data.
is the best fit for the data.
The city will not need a new water plant in the next ten years because the model f(x) indicates that the population will be about
(Round to the nearest thousand as needed.)
people in ten years, which is
a million people.