document.write( "Question 277923: For the formula: P=MT+B (Y=MX+B) P= population of a town which is chosen to be 5,000 M= 250 (rate of population growth) T= amount of years gone by in order to determine population growth. and B= known population number when T=0.\r
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document.write( "I figured out that part of the equation, but now they want us to find how many years it will take the population to approximate 7,000 people.
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document.write( "I thought about using this equation P=250/t+5,000, but I don't know if that makes sense. I don't know what equation to use or how to solve it. \n" );
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Algebra.Com's Answer #202311 by Theo(13342)![]() ![]() You can put this solution on YOUR website! equation is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P = MT + B where:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "M is the rate of growth \n" ); document.write( "P is the population when T = 0.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If the population of the town is chosen to be 5000, then that makes B = 5000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If the rate of the population growth = 250, then M = 250\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your equation should be:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P = 250*T + 5000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "T is the number of years.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "for the population to reach 7000, your formula needs to be:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7000 = 250*T + 5000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract 5000 from both sides of this equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2000 = 250*T\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of this equation by 250 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2000/250 = T\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "T = 8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It would take 8 years for the population that starts at 5000 to reach 7000 if it grows at a rate of 250 people per year.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |