document.write( "Question 987332: What is the average rate of change of y with respect to x over the interval [–2, 5] for the function y = 3x + 2?\r
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document.write( " –9
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document.write( " 3
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document.write( " 1 over 3
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document.write( " –1 \n" );
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Algebra.Com's Answer #608063 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Instead of doing your problem for you, I'll do one exactly in every detail\r\n" ); document.write( "like yours so that you can do yours yourself using this as a model. You\r\n" ); document.write( "won't learn it as well if I do it for you, so I'll do this one instead:\r\n" ); document.write( " \n" ); document.write( "What is the average rate of change of y with respect to x over the interval \n" ); document.write( "[–7, 3] for the function y = 4x + 1? \n" ); document.write( " \r\n" ); document.write( "When x=-7 at the beginning of the interval [-7, 3],\r\n" ); document.write( " y = 4x + 1 begins at y = 4(-7) + 1 = -28 + 1 = -27\r\n" ); document.write( "\r\n" ); document.write( "When x=3 at the end of the interval [-7, 3],\r\n" ); document.write( " y = 4x + 1 ends up at y = 4(3) + 1 = 12 + 1 = 13\r\n" ); document.write( "\r\n" ); document.write( "So y has changed -27 to 13, which is a change of 13-(-27) = 13+27 = 40\r\n" ); document.write( "And x has changed from -7 to 3, which is a change of 3-(-7) = 3+7 = 10\r\n" ); document.write( "\r\n" ); document.write( "So the average rate of change of y with respect to x over the interval\r\n" ); document.write( "[-7, 3] is given by\r\n" ); document.write( "\r\n" ); document.write( "\n" ); document.write( " |