Math 251 Activity (Sec. 1.1) Name: A cold yam is put into a hot oven to bake, th

Question

Math 251 Activity (Sec. 1.1) Name: A cold yam is put into a hot oven to bake, the Jemperature of the yam rises. The rate, R (in deg./min), at which the temperature of yam rises is governed by Newton's Law of Heating, which says that the rate is proportional to the temperature difference between the yam and the oven. If the oven is at 3 the temperature ofyam is HoF, 1) 50°F and (a) Write a formula giving R as a function of H (Sketah the ra nh of R against H where H. is the initial temperature of yarn.

Explanation / Answer

The question tells you that the rate (R) is proportional to the temp difference (D) between the yam and the surroundings.

So, R is proportional to D

or, R = k*D

if the temperature of the yam is H and the temperature of the surroundings is 350 then

Difference = 350 - H

So, R = k (350 - H)

which makes sense as the rate of heating will approach zero as H approaches 350

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