Question

f - if yam in the oven
task
you put a yam in the oven. after 45 minutes, you take it out. let f(t) be the temperature of the yam t minutes after you placed it in the oven.
in (a)-(d), explain the meaning of the statement in everyday language.
a. f(0)=65
b. f(5)<f(10)
c. f(40)=f(45)
d. f(45)>f(60)

Explanation:

a. When the yam is first placed in the oven (at time \(t = 0\) minutes), its temperature is 65 degrees (the unit of temperature is not specified in the problem).
b. The temperature of the yam at 5 minutes after being placed in the oven is lower than its temperature at 10 minutes after being placed in the oven, meaning the yam is heating up over this time - interval.
c. The temperature of the yam at 40 minutes after being placed in the oven is the same as its temperature at 45 minutes after being placed in the oven. This could imply that the yam has reached a steady - state temperature in the oven or that the oven temperature has stabilized the yam's temperature in this time - range.
d. The yam is taken out of the oven at 45 minutes. The statement \(f(45)>f(60)\) means that the temperature of the yam at the moment it is taken out of the oven (45 minutes) is higher than its temperature 15 minutes after being taken out (at 60 minutes), indicating that the yam is cooling down after being removed from the oven.

Answer:

a. The initial temperature of the yam is 65 degrees.
b. The yam's temperature is higher at 10 minutes than at 5 minutes after being placed in the oven.
c. The yam's temperature is the same at 40 minutes and 45 minutes after being placed in the oven.
d. The yam's temperature at 45 minutes (when taken out of the oven) is higher than its temperature at 60 minutes (15 minutes after being taken out).