Question

can someone please explain to me how to do this.? im not even sure which formula to use.
A cup of coffee with temperature 103°F is placed in a freezer with temperature 0°F. After 6 minutes, the temperature of the coffee is 62.6°F. What will its temperature be 14 minutes after it is placed in the freezer? Round your answer to the nearest degree

Answer 1

Have you learned Newton's law of cooling? What class is this from?

Answer 2

this is from precalc. yeah i remember my teacher discussing it but i cant find the formula anywhere in my notes.

Answer 3

Should be in your book, it's in the precalc book I teach from. If you look it up online you're likely to get calculus versions.

Answer 4

thats the problem too is that i rented my book so i had to give it back, horrible planning on my part.

Answer 5

Just google it then. "Precalculus newton's law of cooling" or something.

Answer 6

T ( t ) = Tm + (T0 – Tm) e –kt.) i did this is what i got

Answer 7

Attached is the formula with the variables defined.

Answer 8

Use this data and Newton's Law to solve for k, the coefficient of cooling.

A cup of coffee with temperature 103°F is placed in a freezer with temperature 0°F. After 6 minutes, the temperature of the coffee is 62.6°F

Then, you can use the formula to crank out this:
What will its temperature be 14 minutes after it is placed in the freezer?

@baconstrips01

Answer 9

thank you! i really appreciate your help!