Digital Frame Function
Digital Frame Function
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Algebra Word Problem?
Say I just need help in setting this problem up! I do not want you to solve the problem for me just help understand how to solve on my own.
Solve the problem involving applications of polynomials.
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=1024mb, 1 MB = 1024kb, 1 KB = 1024 bytes, and 1 Bytes - 8 bits) that 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 resoulution.
i. Create a polynomial function that gives the number of minutes of video that can be recorded before swapping in a new hard dirve, 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)
Lots of big numbers here - you have 1600 x 1200 resolution, which means that each frame is made up of 1,920,000 pixels. Each pixel is x-bits in color, so you have 1,920,000x bits per frame.
Now, if you're recording at 26 frames per second, then you have (1,920,000x bits per frame)(26 frames per second) = 49,920,000x bits per second.
From here, you can figure out how many bits are in a byte, bytes in a KB, KB in a MB, and MB in a GB so that you're working with GB in your final equation. You can also throw in some conversions for seconds to minutes. You'll end up with an equation that gives you a GB/min unit, which you can use along with the 80 GB hard drive to come up with the total number of minutes you can squeeze onto that drive (it won't be much,so don't be surprised by your answer).
The gist of this problem is to watch how your units cancel out when you're converting from bits to GB and from seconds to minutes. If you note in the part where I started it for you, multiplying bits/frame and frames/second yielded a bits/second unit. When converting bits to GB, pay close attention to what you do with all of those 1024 numbers (i.e. do you multiply or divide?).
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