document.write( "Question 1159794: Which of the following is true about the graph of the function y = 2.5x? Select all that apply\r
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document.write( "The equation does NOT represent a proportional relationship.\r
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document.write( "A change of 5 units in x results in a change of 2 units in y.\r
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document.write( "The unit rate of the relationship is 2/5\r
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document.write( "The slope of the line is 2.5\r
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document.write( "A change of 2 units in x results in a change of 5 units in y. \n" );
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Algebra.Com's Answer #782860 by Theo(13342)![]() ![]() You can put this solution on YOUR website! your options are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1. \n" ); document.write( "The equation does NOT represent a proportional relationship. \n" ); document.write( "this is false since the equation does represent a proportional relationship because y is always 2.5 times as large as x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2. \n" ); document.write( "A change of 5 units in x results in a change of 2 units in y. \n" ); document.write( "this is false since a change in 5 units of x will result in 2.5 * 5 = a change of 12.5 units in y.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3. \n" ); document.write( "The unit rate of the relationship is 2/5. \n" ); document.write( "since the relationship is the value of y based on the value of x, then the unit rate is 2.5, making this statement false.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4. \n" ); document.write( "The slope of the line is 2.5 \n" ); document.write( "this is true, since the slope is the change in y divided by the change in x. \n" ); document.write( "for every change in x of 1 unit, the change in y is 2.5 units. \n" ); document.write( "that makes this statement true.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5. \n" ); document.write( "A change of 2 units in x results in a change of 5 units in y. \n" ); document.write( "this statement is also true, since a change in 2 units of x results in a change of 2 * 2.5 = 5 units in y.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so, it looks like statements 1,2,3 are false and statements 4,5 are true, as best i can determine.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "note that the slope intercept form of the equation of a straight line is y = mx + b \n" ); document.write( "m is the slope. \n" ); document.write( "b is the y-intercept. \n" ); document.write( "since the equation is y = 2.5x, then the slope is 2.5 and the y-intercept is 0.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |