Exponential and Logarithmic Functions - Applications of Exponential and Logarithmic Functions

Exponential and Logarithmic Functions - Applications of Exponential and Logarithmic Functions

A piece of meat is removed from the freezer and it is then allowed to thaw. Its temperature, \(T{}^\circ \mathrm{C}\), after \(t\) minutes is given by \(T=28-46{{\mathrm{e}}^{-0.25t}}\).

  1. Find the initial temperature.
  2. Find the value of \(T\) after \(\frac{1}{15}\mathrm{hour}\).
  3. State the value of that \(T\) approaches when \(t\) becomes large.

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Answer:(a) \(-18{}^\circ C\) (b) \(11.1{}^\circ C\) (c) \(28{}^\circ C\)

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