The temperature difference be in 4 minutes if it is currently 12 °C will be 7.87 °C.
Consider the function:
y = a (1 – r)ⁿ
Where n is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
A bowl of cold gazpacho soup is warming to room temperature.
The temperature difference between the soup and the room decreases by 10% every minute.
Then the equation will be
[tex]\rm T(t) = T(0)(1 - 0.10)^t[/tex]
Then the temperature difference be in 4 minutes if it is currently 12 °C will be
T(5) = 12(1–0.10)⁵
T(5) = 7.87 °C
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