Question

the table gives the projections of the population, in millions, of a country’s residents over age 16 for selected years from 2015 to 2060. answer parts (a) through (e).

year	2015	2020	2025	2030	2035
population (millions)	255.161	266.024	276.558	286.967	297.259
year	2040	2045	2050	2055	2060
population (millions)	306.634	315.162	323.314	331.770	340.868

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.
a. image of graph a
b. image of graph b
c. image of graph c
d. image of graph d

Explanation:

Step1: Convert years to x-values

x = Year - 2010
2015: $2015-2010=5$; 2020: $2020-2010=10$; 2025: $2025-2010=15$; 2030: $2030-2010=20$; 2035: $2035-2010=25$; 2040: $2040-2010=30$; 2045: $2045-2010=35$; 2050: $2050-2010=40$; 2055: $2055-2010=45$; 2060: $2060-2010=50$

Step2: List (x,y) data pairs

$(5,255.161), (10,266.024), (15,276.558), (20,286.967), (25,297.259), (30,306.634), (35,315.152), (40,323.314), (45,331.770), (50,340.868)$

Step3: Match to correct graph

Check y-values: all are 255-341, so y-axis [0,400] fits. x-values 5-50, x-axis [0,60] fits. The points show a steady upward trend, matching the increasing sequence in Graph C.

Answer:

C. <The graph with steadily increasing points matching the (x,y) pairs>