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1 June, 05:43

A plant is already 41 centimeters tall, and it will grow one centimeter every month.

Let H be the plant's height (in centimeters) after M months.

Write an equation relating H to M. Then use this equation to find the plant's height after 31 months

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Answers (2)
  1. 1 June, 05:48
    0
    Answer: H = 71 centimeters

    Step-by-step explanation:

    A plant is already 41 centimeters tall, and it will grow one centimeter every month. This means that the growth is linear. It increases in arithmetic progression. The formula for the nth term of an arithmetic sequence, Tn is expressed as

    Tn = a + (n-1) d

    Where a is the first term

    d is the common difference

    n is the number of terms

    From the information given,

    a = 41 centimeters

    d = 1 foot

    Tn = H

    n = M

    The equation relating H to M would be

    H = 41 + (M - 1)

    The plant's height after 31 months will be

    H = 41 + (31 - 1)

    H = 41 + 30 = 71
  2. 1 June, 05:51
    0
    72 centimeter

    Step-by-step explanation:

    As given,

    H = 41 + M

    After 31 Months

    H = 41 + 31

    H = 72 cm

    Hence if plant's height grow by 1 cm every month then the total height of the plant after 31 months will be 72 centimeter.
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