document.write( "Question 109178: I am helping my daughter with her homework and have no idea what I am doing.\r
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document.write( "Computer diskette problem: A computer store sells 10 floppy diskettes for $15, and 30 for $40. Assume that the number of dollars varies linearly with the number of diskettes.
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document.write( "a) Write the particular equation expressing dollars in terms of diskettes.
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document.write( "b) Predicit the price for a box of 100.
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document.write( "c) State the domain for your variable.
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document.write( "d) Sketch and label the graph. \n" );
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Algebra.Com's Answer #79621 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A computer store sells 10 floppy diskettes for $15, and 30 for $40. Assume that the number of dollars varies linearly with the number of diskettes. \n" ); document.write( ": \n" ); document.write( "a) Write the particular equation expressing dollars in terms of diskettes. \n" ); document.write( ": \n" ); document.write( "Let x = no. of floppies sold \n" ); document.write( "Let y = cost of the item \n" ); document.write( ": \n" ); document.write( "find the slope of the equation, slope formula: m = \n" ); document.write( "Using the given data assign as follows: \n" ); document.write( "x1=10, y1=15; x2=30, y2= 40 \n" ); document.write( ": \n" ); document.write( "m = \n" ); document.write( ": \n" ); document.write( "Find equation using the point/slope formula: y - y1 = m(x - x1) \n" ); document.write( ": \n" ); document.write( "y - 15 - 1.25(x - 10) \n" ); document.write( "y - 15 = 1.25x - 12.5 \n" ); document.write( "y = 1.25x - 12.5 + 15 \n" ); document.write( "y = 1.25x + 2.5; is the equation expressing cost in terms of no. of items \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "b) Predict the price for a box of 100. \n" ); document.write( ": \n" ); document.write( "Substitute 100 for x in the equation we just created: \n" ); document.write( "y = 1.25(100) + 2.5 \n" ); document.write( "y = 125 + 2.5 \n" ); document.write( "y = $127.5 is the cost of 100 items \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "c) State the domain for your variable. \n" ); document.write( ": \n" ); document.write( "The domain would be all real integers => 1. You can't include 0 because in our \n" ); document.write( "equation the cost of 0 items is $2.50, hardly reasonable. \n" ); document.write( ": \n" ); document.write( "d) Sketch and label the graph. \n" ); document.write( "You can plot the points given and draw a straight line thru them, it should look like this: \n" ); document.write( "y (vertical is cost) and x (horizontal) is no. of items sold \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "How about this, you got a handle this now? \n" ); document.write( " |