Jackson has 50 megabytes (MB) of space left on his smartphone. He can download songs that each use 3.5 MB or videos that each use 7 MB. He wants to download at least 10 new media files. Which pair of inequalities specifies the number of song files, x, and the number of video files, y, that Jackson can download

The number of song files Jackson can download: x

The number of video files Jackson can download: y



x song files occupy a space of 3.5MB per file, times x files = 3.5x MB

y media files occupy a space of 7MB per file, times y files = 7yMB


(3.5x + 7y) MB must be at most 50 MB, since there is 50 MB left,

this can be represented by the inequality: [tex]i) \ \ 3.5x+7y \leq 50[/tex]


Jackson wants to download at least 10 media files, so y must be at least 10

this means that [tex]ii) \ \ \ y \geq 10[/tex]


Answer: [tex]i) \ \ 3.5x+7y \leq 50\\\\ii) \ \ \ y \geq 10[/tex]