SOLUTION: Hi, I am having a very difficult time with this problem. I'm not really sure where to begin. I would appreciate any help. George Lucas pioneered the use of digital movie camer

Algebra ->  Expressions-with-variables -> SOLUTION: Hi, I am having a very difficult time with this problem. I'm not really sure where to begin. I would appreciate any help. George Lucas pioneered the use of digital movie camer      Log On


   

Question 147831: Hi, I am having a very difficult time with this problem. I'm not really sure where to begin. I would appreciate any help.

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 (remember: 1 GB = 1024 MB, 1 MB = 1024 KB, 1 KB = 1024 Bytes, and 1 Byte = 8 bits), that it records each pixel in x-bit color, that there are 26 frames recorded per second, and that each frame is recorded in 1600x1200 resolution.

1. 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)
2.Evaluate this function for x = 32 (32-bit true color)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I'll take a shot at it.
26 frames/sec x 60 sec/min = 1560 frames /min
there are 1600 x 1200 pixels/frame, or
1.92%2A10%5E6 pixels/frame
1560 frames/min x 1920000 pixels/frame = 2.9952%2A10%5E9 pixels/min
Each pixel is in x-bit color, so
each minute of video requires %282.9952%2A10%5E9%29%2Ax bits/min
The hard drive is 80GB
80 GB x 1024 MB/GB x 1024 KB/MB x 1024 Bytes/KB x 8 bits/Byte
So the hard drive's capacity is 687.19477%2A10%5E9 bits
The number of minutes one can get out of the 80 GB hard drive is
687.19477%2A10%5E9 bits / %282.9952%2A10%5E9%29%2Ax bits/min
T+=+229.432+%2F+x min
If x+=+32,
T+=+7.1697min
That isn't much time. Maybe I goofed, but I think
my method is OK