Question

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). a. graph the data, with y equal to the population in millions and x equal to the number of years after 2010. choose the correct graph below. all graphs have viewing window 0, 60 by 0, 400 with xscl = 5 and yscl = 50.

Explanation:

Step1: Determine x - values

For 2015, \(x = 2015 - 2010=5\), for 2020, \(x = 2020 - 2010 = 10\), and so on. The x - values are \(5,10,15,20,25,30,35,40,45,50,55,60\).

Step2: Determine y - values

The y - values are the population values from the table: \(255.161,266.024,276.558,286.967,297.259,306.634,315.152,323.314,331.770,340.868\).

Step3: Analyze the trend

As the years (x) increase, the population (y) is increasing.

Answer:

We need to visually check which of the given graphs has points plotted at the correct (x,y) coordinates and shows an increasing trend. Without the actual visual content of the graphs A, B, C, D, we can't give a definite letter - answer. But the correct graph should have points corresponding to the (x,y) pairs calculated above and show a steadily increasing population over time. If we assume we could visually inspect: The graph that has points at \((5,255.161),(10,266.024),(15,276.558),(20,286.967),(25,297.259),(30,306.634),(35,315.152),(40,323.314),(45,331.770),(50,340.868)\) and has an upward - sloping trend is the correct one.