document.write( "Question 185353: It is 76 degrees F at the 6000-foot level of a mountain, and 49 degrees F at the 12000-foot level of a mountain. Write a linear equation to find the temperature T at an elsevation e on the mountain, where e is in thousands of feet. \n" ); document.write( "
Algebra.Com's Answer #139103 by ankor@dixie-net.com(22740)\"\" \"About 
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It is 76 degrees F at the 6000-foot level of a mountain, and 49 degrees
\n" ); document.write( " F at the 12000-foot level of a mountain.
\n" ); document.write( "Write a linear equation to find the temperature T at an elevation e on the
\n" ); document.write( " mountain, where e is in thousands of feet.:
\n" ); document.write( ":
\n" ); document.write( "Find the slope using the slope formula: m = \"%28y2-y1%29%2F%28x2-x1%29\"
\n" ); document.write( "Assign the given values as follows
\n" ); document.write( "x1 = 6 (for 6000 ft); y1 = 76
\n" ); document.write( "x2 = 12(for 12000ft); y2 = 49
\n" ); document.write( ":
\n" ); document.write( "m = \"%2849-76%29%2F%2812-6%29\" = \"%28-27%29%2F6\" = \"-9%2F2\"
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\n" ); document.write( "Use the point slope equation y - y1 = m(x - x1) so create the equation
\n" ); document.write( "y - 76 = \"-9%2F2\"(x - 6)
\n" ); document.write( "y - 76 = \"-9%2F2\"x - (-27)
\n" ); document.write( "y - 76 = \"-9%2F2\"x + 27 + 76
\n" ); document.write( "y = \"-9%2F2\"x + 103; is the equation
\n" ); document.write( "Using e and T
\n" ); document.write( "T = \"-9%2F2\"e + 103
\n" ); document.write( ":
\n" ); document.write( "A graph would look like this:
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-10%2C+20%2C+-20%2C+120%2C+%28-9%2F2%29x%2B103%29+\"
\n" ); document.write( "where elevation is the horizontal and Temp is the vertical
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\n" ); document.write( "Sorry for the initial screw-up here. Carl
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