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29 October, 00:51

The temperature is - 4. At 7:00 am a warm front come through and the temperature increases 2 degrees every hour. At what time does the temperature reach 18 degrees?

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  1. 29 October, 03:18
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    at 6:00 pm the temperature reaches 18 degrees

    Step-by-step explanation:

    since the temperature increases linearly with the time then

    t = t₀ + m * (T-T₀)

    where

    t = time at temperature T

    t₀ = initial time at temperature T

    m = increase in time with temperature

    T₀ = initial temperature

    therefore replacing values

    t = 7 hour + 1 hour/2°C * [18°C - (-4°C) ] = 18 hour → 18:00 = 6:00 pm

    thus at 6:00 pm the temperature reaches 18 degrees
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