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12 September, 18:00

A Candlestick burns at a rate of 0.2 inches per hour. After 8 straight hours of burning, the candlestick is 13.4 inches tall. Write and solve a linear equation to find the original height of the candle.

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  1. 12 September, 18:23
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    Answer:the original height of the candle is 14.8 inches

    Step-by-step explanation:

    A Candlestick burns at a rate of 0.2 inches per hour. It means that the height of the candle is decreasing by 2 inches per hour. This decrease is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

    Tn = a + (n - 1) d

    Where

    a represents the first term of the sequence.

    d represents the common difference.

    n represents the number of terms in the sequence.

    From the information given,

    d = - 0.2 (it is decreasing)

    n = 8

    T8 = 13.4 inches

    We want to determine the value of the first term, a. Therefore,

    13.4 = a - 0.2 (8 - 1)

    13.4 = a - 1.4

    a = 13.4 + 1.4 = 14.8 inches
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