Question

A loaf of bread is removed from an oven at 350 degrees F and cooled in a room whose temperature is 70 degrees F. If the bread cools to 210 degrees F in 20 minutes, how much longer will it take the bread to cool to 155 degrees F. Round to the nearest minute.
As you know, Newton's law says that your Temperature function is

T(t) = 70 + 280e^-kt

So, just solve for k in

70 + 280e^-20k = 210

then solve for t in using T(t) = 155.

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