document.write( "Question 540997: I need some help understanding how to answer this question: The distance d, in miles, a small plane is from its final destination is given by d(t) = 250-100t, where t is the time in hours, remaining for the flight. Find and discuss the meaning of the intercepts of the graph of the function.\r
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Algebra.Com's Answer #353973 by Theo(13342)![]() ![]() You can put this solution on YOUR website! d(t) = 250 - 100t \n" ); document.write( "when t = 0, the distance from the destination is d(t) which equals 250 - 100*0) which equals 250 which means that the small plane is 250 miles from its destination. \n" ); document.write( "if you set d(t) equal to 0, the equation becomes: \n" ); document.write( "0 = 250 - 100t. \n" ); document.write( "add 100t to both sides of this equation to get: \n" ); document.write( "100t = 250 \n" ); document.write( "divide both sides of this equation by 100 to get: \n" ); document.write( "t = 250/100 = 2.5 hours. \n" ); document.write( "it takes the small plane 2.5 hours to reach its destination which is the point at which d(t) = 0. \n" ); document.write( "to graph this you would set y equal to d(t) and you would set x equal to t. \n" ); document.write( "the y intercept of the graph would represent the point at which t = 0 which means the point at which x = 0 because x replaces t for graphing purposes. \n" ); document.write( "the x intercept of the graph would represent the point at which d(t) = 0 which means the point at which y equals 0 because y replaces d(t) for graphing purposes.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |