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17 August, 17:43

A gardener is planting two types of trees: Type A is 7 feet tall and grows at a rate of 2 inches per year. Type B is 2 feet tall and grows at a rate of 17 inches per year. Algebraically determine exactly how many years it will take for these trees to be the same height.

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  1. 17 August, 18:07
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    Answer: it will take 0.33 years for the heights to be the same.

    Step-by-step explanation:

    Let x represent the number of years it will take for both trees to be the same height.

    Type A is 7 feet tall and grows at a rate of 2 inches per year. This means that the height of the tree after x years would be

    2x + 7

    Type B is 2 feet tall and grows at a rate of 17 inches per year. This means that the height of the tree after x years would be

    17x + 2

    For the heights to be the same, the number of years would be

    17x + 2 = 2x + 7

    17x - 2x = 7 - 2

    15x = 5

    x = 5/15

    x = 0.33 years
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