Question

16.) The population of Wolf County was 12,390 in 2000 and 13,090 in 2010. Assuming that population growth in this county is linear, find the following:
b.) When will the population reach 21,000 people?
c.) When did the first settlers arrive in Wolf County?
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Answer 1

Assuming population increase has been linear here is the given data from the problem.

13090 - 12390 = 700 people
2010 - 2000 = 10 years
700 / 10 = 70 people per year

Based on the data, here is our equation
y = 70x + 13,090

b) 21,000 = 70x + 13,090
x = 113 years
113 + 2010 = Answer = year 2123

c) 0 = 70x + 13,090
x = -187
-187 + 2010 = Answer = year 1823