the table gives the projections of the population, in millions, of a countrys residents over age 16 for…

the table gives the projections of the population, in millions, of a countrys residents over age 16 for selected years from 2015 to 2060. answer parts (a) through (e).\n| year | population (millions) | year | population (millions) |\n| ---- | ---- | ---- | ---- |\n| 2015 | 255.161 | 2040 | 306.634 |\n| 2020 | 266.024 | 2045 | 315.152 |\n| 2025 | 276.558 | 2050 | 323.314 |\n| 2030 | 286.967 | 2055 | 331.770 |\n| 2035 | 297.259 | 2060 | 340.868 |\ny = 1.890x + 247.994 (type integers or decimals rounded to three decimal places as needed.)\nc. graph the model and the data on the same axes and comment on the fit of the model to the data. choose the correct graph below. all graphs have viewing window 0, 60 by 0, 400 with xscl = 5 and yscl = 50.\nthe linear model is for the data.

the table gives the projections of the population, in millions, of a countrys residents over age 16 for selected years from 2015 to 2060. answer parts (a) through (e).\n| year | population (millions) | year | population (millions) |\n| ---- | ---- | ---- | ---- |\n| 2015 | 255.161 | 2040 | 306.634 |\n| 2020 | 266.024 | 2045 | 315.152 |\n| 2025 | 276.558 | 2050 | 323.314 |\n| 2030 | 286.967 | 2055 | 331.770 |\n| 2035 | 297.259 | 2060 | 340.868 |\ny = 1.890x + 247.994 (type integers or decimals rounded to three decimal places as needed.)\nc. graph the model and the data on the same axes and comment on the fit of the model to the data. choose the correct graph below. all graphs have viewing window 0, 60 by 0, 400 with xscl = 5 and yscl = 50.\nthe linear model is for the data.

Answer

Explanation:

Step1: Analyze the linear - model equation

The linear model is (y = 1.890x+247.994). Here, the slope is positive ((m = 1.890)), which means the population (represented by (y)) is increasing as (x) (which likely represents the number of years since a base - year) increases.

Step2: Examine the data trend

Looking at the population data from 2015 to 2060, the population is indeed increasing over time.

Step3: Match with the graph

We need to find a graph that has a positive - sloping line and data points that follow the general trend of the line. A positive - sloping line will start from a lower value on the (y) - axis and go up as (x) increases.

Answer:

We cannot determine the exact graph without the visual content of options A, B, C, and D. But the correct graph should have a positive - sloping line (y = 1.890x + 247.994) and data points that generally follow this line, indicating an increasing population trend over time.