The table to right gives the projections of the population of a country from 2000 to 2100. Answer parts ​(a) through ​(c). Full data set

Year Population​ (millions) Year Population​ (millions) 2000 280.1 2060 440.2 2010 303.2 2070 466.1 2020 326.9 2080 506.2 2030 355.2 2090 538.5 2040 386.5 2100 577.1 2050 407.9 Question content area bottom Part 1 ​(a) Find a linear function that models this​ data, with x equal to the number of years after 2000 and​ f(x) equal to the population in millions. ​f(x)equals    2.945 x plus 269.827 ​(Use integers or decimals for any numbers in the expression. Round to three decimal places as​ needed.) Part 2 ​(b) Find ​f(70​). ​f(70​)equals    476 ​(Round to one decimal place as​ needed.) Part 3 State what does the value of ​f(70​) mean. A. This will be the projected population in year 2170. B. This will be the projected population in year 2070. Your answer is correct. Part 4 ​(c) What does this model predict the population to be in​ 2080? The population in year 2080 will be    enter your response here millions. ​(Round to one decimal place as​ needed.)