document.write( "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. \n" ); document.write( "
Algebra.Com's Answer #500269 by TimothyLamb(4379)\"\" \"About 
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\n" ); document.write( "given:
\n" ); document.write( "year population-in-thousands
\n" ); document.write( "2010, 2588
\n" ); document.write( "2025, 3614
\n" ); document.write( "---
\n" ); document.write( "rescale year since 2000:
\n" ); document.write( "year population-in-thousands
\n" ); document.write( "10, 2588
\n" ); document.write( "25, 3614
\n" ); document.write( "---
\n" ); document.write( "to solve the linear equation, copy and paste this (the two given points):
\n" ); document.write( "10, 2588, 25, 3614
\n" ); document.write( "into the \"Two-Point form: x1 y1 x2 y2\" input box here: https://sooeet.com/math/linear-equation-solver.php
\n" ); document.write( "---
\n" ); document.write( "x-intercept = (-27.8362573, 0)
\n" ); document.write( "y-intercept = (0, 1904)
\n" ); document.write( "slope = 68.4
\n" ); document.write( "---
\n" ); document.write( "answer:
\n" ); document.write( "the linear population model:
\n" ); document.write( "p(t) = 68.4t + 1904
\n" ); document.write( "where:
\n" ); document.write( "t = number of years since 2000
\n" ); document.write( "p = thousands of people
\n" ); document.write( "---
\n" ); document.write( "check the given data points:
\n" ); document.write( "---
\n" ); document.write( "year 2010:
\n" ); document.write( "p(10) = 68.4*10 + 1904
\n" ); document.write( "p(10) = 2588 thousand people
\n" ); document.write( "---
\n" ); document.write( "year 2025:
\n" ); document.write( "p(25) = 68.4*25 + 1904
\n" ); document.write( "p(25) = 3614 thousand people
\n" ); document.write( "---
\n" ); document.write( "Solve and graph linear equations:
\n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php
\n" ); document.write( "---
\n" ); document.write( "Solve quadratic equations, quadratic formula:
\n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php
\n" ); document.write( "---
\n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables:
\n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( "
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