document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=111511>Question 111511</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am completely clueless to even where I begin. Please help!\r<BR>\n" );
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document.write( "Solve:  George Lucas pioneered the use of digital movie cameras.  Assume that <BR>\n" );
document.write( "his camera has a swappable 80GB hard drive, that it records each pixel in x-bit <BR>\n" );
document.write( "color, that there are 26 frames recorded per second, and that each frame <BR>\n" );
document.write( "recorded is in 1600x1200 resolution.<BR>\n" );
document.write( "a.  Create a polynomial function that gives the number of minutes of video that <BR>\n" );
document.write( "can be recordeed before swapping hard drives as a function of x (the number of <BR>\n" );
document.write( "bits used to encode the color of each pixel)<BR>\n" );
document.write( "b.  Evaluate this function for x=32 (32-bit true color </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #81324 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=81324\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1600 x 1200 resolution means that there are 1600 times 1200 pixels in each frame. And each pixel requires x bits.  That means that each frame requires storage for 1920000 times x bits of information.  Now we also know that 26 frames are recorded per second and that there are 60 seconds in a minute.  So one minute of recording would require 60 * 26 * 1920000 * x bits or 2995200000x bits per minute (bpm).<BR>\n" );
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document.write( "An 80GB hard drive has 80 billion bytes of storage capacity.  A byte is 8 bits.  The normal meaning of billion is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1000%5E3 ALIGN=MIDDLE  ALT=\"1000%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but when you are talking about computer storage, a kilobyte is actually 1024 bytes because everything is based on powers of 2.  So a gigabyte is actually <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1024%5E3=1073741824 ALIGN=MIDDLE  ALT=\"1024%5E3=1073741824\"   DISABLED_style= \"max-width:90%; height:auto;\" > and 80 times that is 85,899,345,920 bytes.  The total storage capacity in bits is then 8 times that or 687,194,767,360 bits.<BR>\n" );
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document.write( "So our relationship is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Minutes=bits%2Fbpm ALIGN=MIDDLE  ALT=\"Minutes=bits%2Fbpm\"   DISABLED_style= \"max-width:90%; height:auto;\" > or with our numbers:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M=687194767360%2F2995200000x ALIGN=MIDDLE  ALT=\"M=687194767360%2F2995200000x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "for x = 32, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M=687194767360%2F%282995200000%2A32%29=7.17 ALIGN=MIDDLE  ALT=\"M=687194767360%2F%282995200000%2A32%29=7.17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "If your instructor wants you to use the standard definition of a billion, then change the numerator of the fraction to 8 * 80 * 1,000,000,000 = 640,000,000,000 and your answer should be a little over 6.6 minutes. </SPAN>\n" );
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