High School

You put a yam in the oven. After 45 minutes, you take it out. Let [tex] f(t) [/tex] be the temperature of the yam [tex] t [/tex] minutes after you placed it in the oven. Explain the meaning of each statement.

a. [tex] f(5) [/tex]
b. [tex] f(60) [/tex]

Answer :

Answer:

  • f(5), t=5 Minutes.
  • f(60), t=60 Minutes

Step-by-step explanation:

f(t) is the temperature of the yam t minutes after it is placed in the oven.

  • In f(5), t=5 Minutes, therefore f(5) is the temperature of the yam 5 minutes after it is placed in the oven. At f(5), the yam is still in the oven since it is not yet up to 45 Minutes.
  • In f(60), t=60 Minutes, therefore f(60) is the temperature of the yam 60 minutes after it is placed in the oven. Since the yam is taken out after 45 minutes, at f(60), the yam is no longer in the oven.

Final answer:

The function f(t) denotes the temperature of a yam t minutes after being placed in an oven, with f(5) and f(60) indicating its temperature at 5 minutes and 60 minutes, respectively.

Explanation:

It seems there is a misunderstanding in the representation of the function f(t) within the question prompt. However, interpreting the essence of the question, let's consider f(t) as the temperature of a yam t minutes after being placed in the oven. Given statements such as f(5) and f(60), we are speaking about the yam's temperature 5 minutes and 60 minutes respectively after it has been placed in the oven.

The notation f(5) tells us the temperature of the yam 5 minutes post being placed in the oven, which is likely still in the initial stages of heating up. On the other hand, f(60) signifies the yam's temperature an hour after, by which time it might have reached or be nearing its cooked temperature.

Understanding such functions is fundamental in various fields such as physics and culinary science, demonstrating how temperature changes over time under controlled heating conditions.