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14 June, 22:57

Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 11 hours of burning, a candle has a height of 27.9 centimeters. After 30 hours of burning, its height is 26 centimeters. What is the height of the candle after 20 hours?

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  1. 15 June, 01:13
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    y = 27 cm

    Explanation:

    given,

    After 11 hours of burning height of candle is 27.9 cm

    After 30 hours of burning height of candle is 26 cm

    height after 20 hour = ?

    the candle height decreases linearly

    using linear equation

    y = m x + c

    27.9 = m (11) + C ... (1)

    26 = m (30) + C ... (2)

    on solving equation (1) and (2)

    1.9 = - 19 m

    m = - 0.1

    from equation 2

    26 = - 3 + C

    C = 29

    y = m x + 29

    at 20 hour

    y = - 0.1 * 20 + 29

    y = 27

    height of candle after 20 hours is 27 cm.
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