Question

what will the temperature of the juice be 9 minutes after she puts it in the freezer?round off the answer to nearest degree Fahrenheit.

Answer 1

Answer: 47 degrees celcius

Explanation:

Answer 2

Let the formula be for time in seconds

Thus, we have:

`T(t)=T_a+(T_0-T_a)e^(-kt)`

T_a would be the freezer temperature, 4

T_0 would be the initial temp, which is 73

t is the time [9 minutes afterwards, t = 9]

k is 0.05

Substituting, we get:

`\begin{gathered} T(t)=T_a+(T_0-T_a)e^(-kt) \\ T(9)=4_{}+(73-4_{})e^(-(0.05)(9)) \\ T(9)=4+69e^(-0.45) \\ T(9)\approx48 \end{gathered}`

To nearest degree Fahrenheight, T = 48 degrees F