document.write( "Question 188821: According to data from the US Census Bureau, the population P of Cleveland, Ohio (in thousands) in year x can be approximated b P(x)=.08x^2-13.08x+927, where x=0 corresponds to 1950. In what calendar year, is the population about 1,000,000?\r
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document.write( "I have tried setting the equation to 1,000,000 (for example: 1,000,000=.08x^2-13.08x+927), but when I solve it, I come out with some outrageous number for the year... could you please show me the steps as to how I am supposed to set it up? I can preform the math, I am just unsure of the set up. \n" );
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Algebra.Com's Answer #141724 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! According to data from the US Census Bureau, the population P of Cleveland, Ohio (in thousands) in year x can be approximated b P(x)=.08x^2-13.08x+927, where x=0 corresponds to 1950. In what calendar year, is the population about 1,000,000? \n" ); document.write( "I have tried setting the equation to 1,000,000 (for example: 1,000,000=.08x^2-13.08x+927), \n" ); document.write( ": \n" ); document.write( "One fact you overlooked, the population is given \"In Thousands\" therefore: \n" ); document.write( "1,000,000 would be written as 1000 \n" ); document.write( ": \n" ); document.write( "The equation would be: \n" ); document.write( ".08x^2 - 13.08x + 927 = 1000 \n" ); document.write( "; \n" ); document.write( ".08x^2 - 13.08x + 927 - 1000 = 0 \n" ); document.write( ": \n" ); document.write( ".08x^2 - 13.08x - 73 = 0 \n" ); document.write( "Solve this and you will get a positive solution of approx 169 yrs from 1950 which is 2119 \n" ); document.write( " \n" ); document.write( " |