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19 May, 22:00

A printer outputs 30 pages in 120 seconds. Write a proportion that relates pages in 120 seconds to output y pages in x seconds

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  1. 19 May, 22:48
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    Assuming the printer is working at a direct proportion (and not inverse)

    30 pages = 120 secs

    (divide by 10)

    3 pages = 12 secs

    (divide by 3)

    1 page = 4 secs

    so 1p (is directly proportional to) 4s

    the formula for direct proportion is

    y ∝ kx

    where y = the number of seconds and

    where x = the number of pages

    therefore if y = 4 and x = 1

    then k = 4

    meaning that the final proportion in

    y = K x

    where y = the number of seconds and

    where x = the number of pages

    (or you could write it as ... Sec = 4 x Pages)
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