document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=158984>Question 158984</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help, I am confused!!!\r<BR>\n" );
document.write( "\n" );
document.write( "I have to solve the following problem involving applications of polynomials:\r<BR>\n" );
document.write( "\n" );
document.write( "George Lucas pioneered the use of digital movie cameras with the most recent Star Wars film. Assume that Lucas's camera has a swappable 80 GB hard drive, that it records each pixel in x-bit color, that there are 26 frames recorded per second, and that each frame is recorded in 1600 x 1200 resolution.\r<BR>\n" );
document.write( "\n" );
document.write( "I. Create a polynomial function that gives the number of minutes of video that can be recorded before swapping in a new hard drive, as a function of x (the number of bits used to encode the color of each pixel)\r<BR>\n" );
document.write( "\n" );
document.write( "II. 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 #117263 by </B><A HREF=/tutors/aboutme.mpl?userid=gonzo><B>gonzo(654)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gonzo><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=117263\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> here's what i have.<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "80 GB hard drive equals 80 * 10^9 bytes (not bits) capacity.<BR>\n" );
document.write( "since there are 8 bits per byte, the hard drive capacity in bits would then be<BR>\n" );
document.write( "80*8*10^9 Gb hard drive capacity (Gb = 1 gigabit; GB = 1 gigabyte)<BR>\n" );
document.write( "if you let C = capacity of the hard drive in Gb, then<BR>\n" );
document.write( "C = 80*8*10^9<BR>\n" );
document.write( "C = 6.4 * 10^11<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "1200 x 1600 resolution per frame equals 1.92 * 10^6 pixels per frame since the number of pixels per frame is calculated by taking 1200 and multiplying it by 1600.<BR>\n" );
document.write( "if you let P = pixels and F = frame, then<BR>\n" );
document.write( "P/F = 1.92*10^6<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "there are 26 frames per second in a video picture.<BR>\n" );
document.write( "if you let S = seconds, then<BR>\n" );
document.write( "S = 26*F<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "if you want to know how many frames in a minute, you would take the number of frames per second and multiply it by 60.<BR>\n" );
document.write( "if you let M = minutes, then<BR>\n" );
document.write( "M = 60*S = 60*26*F<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "x-bit color refers to the number of bits that are used per pixel to represent color.<BR>\n" );
document.write( "2-bit color means 2 bits per pixel.<BR>\n" );
document.write( "32-bit color means 32 bits per pixel.<BR>\n" );
document.write( "x-bit color means x bits per pixel.<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "if you want to know how many bits per frame you would take pixels per frame and multiply it by the number of bits per pixel.<BR>\n" );
document.write( "let B/P = number of bits per pixel.<BR>\n" );
document.write( "B/P = x<BR>\n" );
document.write( "let B/F = (P/F)*(B/P)<BR>\n" );
document.write( "from above, P/F = 1.92*10^6<BR>\n" );
document.write( "from here, B/P = x<BR>\n" );
document.write( "B/F = 1.92*10^6*x<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "if you want to know how many bits per minute, you would take bits per frame and multiply it by number of frames per second and multiply that by 60 seconds.<BR>\n" );
document.write( "B/F = 1.92*10^6*x<BR>\n" );
document.write( "let B/M = bits per minute<BR>\n" );
document.write( "B/M = B/F*(F/S)*60<BR>\n" );
document.write( "B/F = 1.92*10^6*x<BR>\n" );
document.write( "F/S = 26<BR>\n" );
document.write( "B/M = 1.92*10^6*x*26*60*x<BR>\n" );
document.write( "B/M = 2.9952*10^9*x<BR>\n" );
document.write( "---------------------------------------<BR>\n" );
document.write( "formula for number of minutes of video that can be stored on the hard drive becomes C / (B/M)<BR>\n" );
document.write( "6.4 * 10^11 / 2.9952*10^9*x = 213.6752137/x<BR>\n" );
document.write( "answer is 213.6752135/x minutes of video.<BR>\n" );
document.write( "--------------------------------------------<BR>\n" );
document.write( "if you let x = 32 bits, then number of minutes of videos becomes<BR>\n" );
document.write( "213.6752137/32 = 6.677350427 minutes of video at 32 bits per pixel.<BR>\n" );
document.write( "----------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );