Question

A deli sandwich is placed inside a cooler. As the sandwich cools, it’s temperature C(t) in degrees Celsius after t minutes is given by the following exponential function. C (t) = 25(0.97)t1) Find the initial temperature:_ c°2) Does the function represent growth or decay ? :growth or decay 3 ) By what percent does the temperature change each minute? :_%

Answer 1

We have the following:

$C(t)=25\cdot(0.97)^t$

1)

Initial temperature, the time is 0

$\begin{gathered} C(0)=25\cdot(0.97)^0 \\ C(0)=25\cdot1 \\ C(0)=25 \end{gathered}$

Initial temperature is 25°C

2)

Decay

Because it is multiplied by a number less than 1, the value will always be less than the original, therefore it is a decreasing function

3)

97%

Since multiplied by 0.97, this represents 97%