Extra

Patrick has purchased an `8 \ text(GB)` USB. The average size of each file he saves is `492 \ text(KB)`.

Find how many files Patrick can expect to save on his USB (to the nearest whole number). (2 marks)

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`17\ 050\ text(files)\ \ \ text{(to nearest whole)}`

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MARKER’S COMMENT: Be aware that the conversion table between bytes and gigabytes etc… is on page 3 of the “Formula and Data Sheet” provided in the HSC exam.

`text(File size) = 492 text(KB)`

`text(USB storage capacity) = 8 text(GB)`

`text(S)text(ince)\ 1 text(KB)`	`=2^10\ text(bytes)`
`1 text(GB)`	`=2^30\ text(bytes)`

`:.\ text(# Files that fit)`	`= text(Total Capacity)/text(Size of File)`
	`= (8 xx 2^30)/(492 xx 2^10)`
	`=17\ 050.016…`
	`=17\ 050\ text(files)\ \ \ text{(to nearest whole)}`