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6 November, 02:46

A gardener is planting two types of trees:

Type A is 8 feet tall and grows at a rate of 16 inches per year.

Type B is 5 feet tall and grows at a rate of 20 inches per year.

Algebraically determine exactly how many years it will take for these trees to be the

same height

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Answers (1)
  1. 6 November, 02:47
    0
    9 years

    Step-by-step explanation:

    The equation for Type A

    Change the ft to inches

    8ft * 12 = 96 inches tall

    96 + 16y

    where y is the number of years

    The equation for Type B

    Change the ft to inches

    5ft * 12 = 60 inches tall

    60 + 20y

    where y is the number of years

    Set the two equations equal to see when they will be the same height

    96+16y = 60+20y

    Subtract 16y from each side

    96+16y-16y = 60+20y-16y

    96 = 60+4y

    Subtract 60 from each side

    96-60 = 60-60+4y

    36 = 4y

    Divide each side by 4

    36/4 = 4y/4

    9 = y
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