Question

the graph gives the number of additional years of life expectancy at age 65 for selected years from 1950 projected to 2050. complete parts (a) through (e).
a. graph the data, with y equal to the number of additional years of life expectancy and x equal to the number of years after 1950.
a.
b.
c.
d.
all graphs have viewing window 0, 110 by 0, 25, xscl = 10, yscl = 5

Explanation:

Step1: Identify data points

We have years from 1950 - 2050 (x - number of years after 1950) and corresponding life - expectancy values (y). For 1950, x = 0 and y = 14.1; for 1960, x = 10 and y = 14.3; for 1970, x = 20 and y = 15.3; for 1980, x = 30 and y = 16.3; for 1990, x = 40 and y = 17.2; for 2000, x = 50 and y = 17.6; for 2010, x = 60 and y = 18.9; for 2020, x = 70 and y = 19.6; for 2030, x = 80 and y = 20.3; for 2040, x = 90 and y = 20.8; for 2050, x = 100 and y = 21.4.

Step2: Analyze the trend

The life - expectancy values are increasing as the years after 1950 increase.

Step3: Match with options

We look at the graphs in options A, B, C, and D with the viewing window [0, 110] by [0, 25], Xscl = 10, Yscl = 5. The points should show an upward - sloping trend.

Answer:

(Without seeing the actual graphs in options A, B, C and D, we can't give a specific letter - option. But the correct graph should have points (0, 14.1), (10, 14.3), (20, 15.3), (30, 16.3), (40, 17.2), (50, 17.6), (60, 18.9), (70, 19.6), (80, 20.3), (90, 20.8), (100, 21.4) plotted and showing an upward - sloping trend.)