document.write( "Question 109178: I am helping my daughter with her homework and have no idea what I am doing.\r
\n" ); document.write( "\n" ); 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.
\n" ); document.write( "a) Write the particular equation expressing dollars in terms of diskettes.
\n" ); document.write( "b) Predicit the price for a box of 100.
\n" ); document.write( "c) State the domain for your variable.
\n" ); document.write( "d) Sketch and label the graph.
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Algebra.Com's Answer #79621 by ankor@dixie-net.com(22740)\"\" \"About 
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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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\n" ); document.write( "a) Write the particular equation expressing dollars in terms of diskettes.
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\n" ); document.write( "Let x = no. of floppies sold
\n" ); document.write( "Let y = cost of the item
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\n" ); document.write( "find the slope of the equation, slope formula: m = \"%28y2-y1%29%2F%28x2-x1%29\"
\n" ); document.write( "Using the given data assign as follows:
\n" ); document.write( "x1=10, y1=15; x2=30, y2= 40
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\n" ); document.write( "m = \"%2840-15%29%2F%2830-10%29\" = \"25%2F10\" = 1.25 is the slope
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\n" ); document.write( "Find equation using the point/slope formula: y - y1 = m(x - x1)
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\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
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\n" ); document.write( "b) Predict the price for a box of 100.
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\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
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\n" ); document.write( "c) State the domain for your variable.
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\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.
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\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
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\n" ); document.write( "\"+graph%28+300%2C+200%2C+-10%2C+110%2C+-10%2C+140%2C+1.25x%2B2.5%29+\"
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\n" ); document.write( "How about this, you got a handle this now?
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