Math

You plant a 4 foot maple tree that grows at a rate of 6 inches per year and a 2 foot birch tree grows at a rate of 8 inches per year . In how many years after planting will the two trees be the same height? How tall will each tree be?

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  1. height-maple = (1/2)t + 4
    height - birch = (2/3)t + 2

    when they have the same height,
    (2/3)t + 2 = (1/2)t + 4
    times 6, the LCD
    4t + 12 = 3t + 24
    t = 12

    they have the same height 12 years from now
    subbing t = 12 into either equation yields
    (1/2)12+4 = 10 ft

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