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bowl of soup is heated to 50 degrees above room temperature. The soup drop about 5 degrees every minute. About how much time will it take for the temperature of the soup to return to room temperature?

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  1. 11 May, 01:30
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    Answer: it will take 10 minutes to get back to room temperature.

    Step-by-step explanation:

    Let us assume that the room temperature is 25 degrees. The current temperature of the soup before the decrease would be 25 + 50 = 75 degrees.

    The soup drop about 5 degrees every minute. This is a linear rate. The rate at which the temperature is decreasing 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,

    a = 75 degrees

    d = - 5 degrees (it is decreasing)

    n = t

    We want to determine how long it will take to get back to 25 degrees,. Therefore,

    25 = 75 - 5 (t - 1) = 75 - 5t

    5t = 75 - 25 = 50

    t = 50/5 = 10 minutes
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