Question 829958: Suppose the U.S. Census Bureau projects the population of a certain state to be 2588 thousand in 2010 and 3614 thousand in 2025. Assuming the population growth is linear, write an equation that gives the population P of this state in thousands t years since 2000.
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
given:
year population-in-thousands
2010, 2588
2025, 3614
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rescale year since 2000:
year population-in-thousands
10, 2588
25, 3614
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to solve the linear equation, copy and paste this (the two given points):
10, 2588, 25, 3614
into the "Two-Point form: x1 y1 x2 y2" input box here: https://sooeet.com/math/linear-equation-solver.php
---
x-intercept = (-27.8362573, 0)
y-intercept = (0, 1904)
slope = 68.4
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answer:
the linear population model:
p(t) = 68.4t + 1904
where:
t = number of years since 2000
p = thousands of people
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check the given data points:
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year 2010:
p(10) = 68.4*10 + 1904
p(10) = 2588 thousand people
---
year 2025:
p(25) = 68.4*25 + 1904
p(25) = 3614 thousand people
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