document.write( "Question 803914: Please help me solve this problem. I am having difficulty figuring out an equation I can use to graph the solution, as well. Thank you! \"An athlete jogs 4 miles away from home at a constant rate of 8 miles per hour, and then turns around and jogs back home at the same speed. Sketch a graph that shows the distance the athlete is from home.\" \n" ); document.write( "

Algebra.Com's Answer #484534 by stanbon(75887) $\"\"$ $\"About$

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\n" ); document.write( "\"An athlete jogs 4 miles away from home at a constant rate of 8 miles per hour, and then turns around and jogs back home at the same speed. Sketch a graph that shows the distance the athlete is from home.\"
\n" ); document.write( "----
\n" ); document.write( "Jogs out DATA:
\n" ); document.write( "time = distance/rate = 1/2 hr
\n" ); document.write( "distance = rate*time = 8*t where t = time.
\n" ); document.write( "------
\n" ); document.write( "Jogs back DATA
\n" ); document.write( "distance = -8t
\n" ); document.write( "-----
\n" ); document.write( "Equation is segmented
\n" ); document.write( "d = 8t when 0<= t <= 1/2 hr
\n" ); document.write( "d = -8t when 1/2 < t <= 1 hr
\n" ); document.write( "==============================
\n" ); document.write( "The graph looks like an upside-down V starting at (0,0), then rising
\n" ); document.write( "to (1/2,8) then decending to (1,0)
\n" ); document.write( "================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( " \n" ); document.write( "

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