Question

population growth of mission first city
according to the population growth chart, between which twenty - year period had the same
increase in population as a ten - year period in mission first city?
a. 1900 - 1910 and 1970 - 1980
b. 1910 - 1920 and 1990 - 2000
c. 1920 - 1960 and 1980 - 1990
d. 1980 - 1990 and 1950 - 1960

Explanation:

Step1: Calculate population increase for each period

• For 1900 - 1910: \(2225 - 1500=725\)
• For 1910 - 1920: \(3000 - 2225 = 775\)
• For 1920 - 1930: \(4100 - 3000=1100\)
• For 1930 - 1940: \(5475 - 4100 = 1375\)
• For 1940 - 1950: \(6975 - 5475=1500\)
• For 1950 - 1960: \(10225 - 6975 = 3250\)
• For 1960 - 1970: \(12300 - 10225=2075\)
• For 1970 - 1980: \(13725 - 12300 = 1425\)
• For 1980 - 1990: \(16725 - 13725=3000\)
• For 1990 - 2000: \(19600 - 16725 = 2875\)

Step2: Check each option

• Option A: \(1900 - 1910\) (increase \(725\)) and \(1970 - 1980\) (increase \(1425\)) → Not equal
• Option B: \(1910 - 1920\) (increase \(775\)) and \(1990 - 2000\) (increase \(2875\)) → Not equal
• Option C: \(1920 - 1960\) (increase \(10225 - 3000=7225\)) and \(1980 - 1990\) (increase \(3000\)) → Not equal
• Option D: \(1980 - 1990\) (increase \(3000\)) and \(1950 - 1960\) (increase \(3250 - 500=3000\)) → Equal

Answer:

D. 1980 - 1990 and 1950 - 1960