SOLUTION: This is the very last question on my assignment and I have spent 3 hours on it and have gotten no where, please help! c. George Lucas pioneered the use of digital movie cameras

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: This is the very last question on my assignment and I have spent 3 hours on it and have gotten no where, please help! c. George Lucas pioneered the use of digital movie cameras       Log On


   

Question 83470: This is the very last question on my assignment and I have spent 3 hours on it and have gotten no where, please help!
c. 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.
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)
ii. Evaluate this function for x = 32 (32-bit true color)
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
x bits per pixel ... 1600x1200 pixels per frame ... 26 frames per second ... 60 seconds per minute

so x(1600)(1200)(26)(60)=bits per minute

the drive capacity is divided by this value to find the minutes of video

... f(x) approximately equals 229.432/x

for 32-bit true color, f(x)=229.432/32=7.17 minutes