a tree is now 12 feet tall and grows 18 inches a year. In how many years will the tree be 36 feet tall?

Question

a tree is now 12 feet tall and grows 18 inches a year. In how many years will the tree be 36 feet tall?

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Quinn 20 hours 2021-10-14T00:48:05+00:00 1 Answer 0 views 0

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    2021-10-14T00:49:48+00:00

    Answer:

    16 years

    Step-by-step explanation:

    tree = 12ft

    + 18in /year

    First we have to convert 18 inches to feet

    1 ft = 12 in

    18 in x (1 ft / 12 in) = 18/12 = 1.5 ft

    so the tree grows 1.5 feet per year.

    Now we can write an equation for this problem:

    y = 12 + 1.5x

    We want to know how many years it will take for the tree to be 36 feet tall. In order to do that we would input 36 for y:

    36 = 12 + 1.5x

    36 – 12 = 12 -12 + 1.5x

    24 = 1.5x

    24/1.5 = 1.5/1.5 x

    x = 16

    It will take 16 years for the tree to be 36 feet tall.

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