SOLUTION: 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

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
---
rescale year since 2000:
year population-in-thousands
10, 2588
25, 3614
---
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
---
answer:
the linear population model:
p(t) = 68.4t + 1904
where:
t = number of years since 2000
p = thousands of people
---
check the given data points:
---
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
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
RELATED QUESTIONS
Suppose the population of a certain city is 3088 thousand. It is expected to decrease to... (answered by ewatrrr)

Suppose the population of a certain city is 3915 thousand. It is expected to... (answered by rfer)

According to the 2000 census, the population of bridgeworth was 204 thousand, and the... (answered by vleith)

A consultant is beginning work on three projects. The expected profits from these... (answered by ikleyn)

PLEASE BE AS DETAILED AS POSSIBLE SO I CAN UNDERSTAND THE STEP BY STEP PROCESS! Thanks so (answered by swincher4391,stanbon)

According to the U. S. Census Bureau, the total 2008 U.S. population was 303,824,640.... (answered by Fombitz)

According to the U. S. Census Bureau, the total 2008 U.S. population was 303,824,640. The (answered by richard1234)

According to the U. S. Census Bureau, the total 2008 U.S. population was 303,824,640. The (answered by Fombitz)

Essay. According to the U. S. Census Bureau, the total 2008 U.S. population was... (answered by htmentor)