Williams King
07/17/2024 · Primary School
Question A jug of water has a temperature of \( 85^{\circ} \mathrm{F} \). It is placed in a refrigerator where the temperature is \( 11^{\circ} \mathrm{F} \). After 25 minutes, the water has cooled to \( 43^{\circ} \mathrm{F} \). Write a model \( T(t) \) for the temperature \( T \) of the water after \( t \) minutes.
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The model for the temperature \( T(t) \) of the water after \( t \) minutes is:
\[
T(t) = 11 + 74 \left(\frac{16}{37}\right)^{\frac{t}{25}}
\]
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