document.write( "Question 1028726: How can I solve this?
\n" ); document.write( " Year- 1988- 582 trees ,1989- 620 trees, 1990- 658 trees, 1992-734 trees, 1995-848 trees, 1997- 924 trees\r
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\n" ); document.write( "\n" ); document.write( "Assuming no trees die, what is the total number of trees in the year 2020?\r
\n" ); document.write( "\n" ); document.write( "The city claims it can have 5,000 trees in the city by 2088. Is this possible?
\n" ); document.write( "What formula did you use to prove it? \n" ); document.write( "

Algebra.Com's Answer #643817 by Theo(13342) $\"\"$ $\"About$

You can put this solution on YOUR website!
your data is as follows:
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document.write( "year       trees      difference     difference per year\r\n" );
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document.write( "1988        582\r\n" );
document.write( "1989        620           38                38\r\n" );
document.write( "1990        658           38                38\r\n" );
document.write( "1992        734           76                38\r\n" );
document.write( "1995        848           114               38\r\n" );
document.write( "1997        924           76                38\r\n" );
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\n" ); document.write( "\n" ); document.write( "your growth is 38 years per year.
\n" ); document.write( "that's a straight line growth.
\n" ); document.write( "it fits a straight line equation.
\n" ); document.write( "the general form of that equation is y = mx + b
\n" ); document.write( "m is the slope
\n" ); document.write( "b is the y-intercept.\r
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\n" ); document.write( "\n" ); document.write( "y is equal to the number of trees.
\n" ); document.write( "x is equal to the year from 1988.
\n" ); document.write( "1988 means x = 0
\n" ); document.write( "1989 means x = 1
\n" ); document.write( "etc.\r
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\n" ); document.write( "\n" ); document.write( "your slope is the change in y divided by the change in x.
\n" ); document.write( "when the year changes by 1, the number of trees increased by 38.
\n" ); document.write( "your slo0pe is 38.\r
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\n" ); document.write( "\n" ); document.write( "your equation becomes y = 38x + b
\n" ); document.write( "you can take any coordinate of (x,y) to find b.
\n" ); document.write( "just replace y with the number of trees and x with the year from 1988.
\n" ); document.write( "for example.
\n" ); document.write( "in 1988, the number of trees is 582.
\n" ); document.write( "x = 0 when the year is 1988.
\n" ); document.write( "y = 582 when x = 0
\n" ); document.write( "your coordinate point is (0,582)\r
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\n" ); document.write( "\n" ); document.write( "in the equation of y = 38x + b, replace y with 582 and x with 0 to get 582 = 0 + b.
\n" ); document.write( "this results in b = 582.\r
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\n" ); document.write( "\n" ); document.write( "your equation is y = 3x + 582.\r
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\n" ); document.write( "\n" ); document.write( "as a test, use the year 1997.
\n" ); document.write( "when the year is 1997, x is equal to 1997 - 1988 = 9
\n" ); document.write( "when x = 9, y = 38*9 + 582 = 924
\n" ); document.write( "this agrees with what your are given, so the formula looks good.\r
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\n" ); document.write( "\n" ); document.write( "when the year is 2020, x is equal to 2020 - 1988 = 32.
\n" ); document.write( "the number of trees is equal to y which is equal to 32*38 + 582 = 1798\r
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\n" ); document.write( "\n" ); document.write( "when the year is 2088, x is equal to 2088 - 1988 = 100.
\n" ); document.write( "the number of trees is equal to y which is equal to 100*38 + 582 = 4382.
\n" ); document.write( "the city will not have 5000 trees by 2088 at the growth rate of 38 trees per year.\r
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