document.write( "Question 880494: Please help me set up an equation for this word problem!
\n" ); document.write( " In 1994 , the National Park system consisted of about 74.9 million acres. By 2005, the figure had grown to 79 million acres. Let A (t) represent the amount of land in the National Park system, in millions of acres, t years after 1990.
\n" ); document.write( "a) Find a linear equation that fits the data.
\n" ); document.write( "b) Use the function of part (a) to predict the amount of land in the National Park system in 2010.
\n" ); document.write( "Help on this problem would be greatly appreciated, thanks!!
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Algebra.Com's Answer #531518 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
a) we are given two data points (4, 74.9) and (15, 79)
\n" ); document.write( "the slope(m) of the line is (79 - 74.9) / (15 - 4) = 0.372727273
\n" ); document.write( "standard form of a line is y = mx + b, pick the first point
\n" ); document.write( "74.9 = (0.372727273 * 4) + b
\n" ); document.write( "74.9 = 1.490909091 + b
\n" ); document.write( "b = 73.409090909
\n" ); document.write( "A(t) = 0.372727273 * t + 73.409090909
\n" ); document.write( "b) A(20) = 0.372727273 * 20 + 73.409090909
\n" ); document.write( "A(20) = 80.863636369 million acres\r
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