Alg 1

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You have 60 megabytes of space left on your portaable media player. You can choose to download song files that use 3.5 megabytes or video files that use 8 megabytes. You want to download at least 12 files. What is a graph showing the numbers of songs and video files you can download?

  • Alg 1 -

    x + y >= 12 files
    3.5x + 8y <= 60 MB

    --> 3.5x + 8 (12-x) <= 60
    3.5x - 8x + 96 <= 60
    96 - 60 <= 4.5x

    => x = 36/4.5 = 8 songs
    Thus y = 12 - 8 = 4 videos

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