Question

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)-(b), explain the meaning of the statement in everyday language. a. f(0)=65 b. f(5) < f(10)

Explanation:

Part A: Explanation of \( f(0) = 65 \)

Step1: Understand \( f(0) \)

\( f(t) \) is temperature at \( t \) minutes after placing in oven. \( t = 0 \) means time just after placing.

Step2: Interpret \( f(0) = 65 \)

So \( f(0) = 65 \) means the yam's temperature when it was just put in the oven (at time 0 minutes) is 65 degrees (of whatever temperature scale, like Fahrenheit or Celsius).

Part B: Explanation of \( f(5) < f(10) \)

Step1: Understand \( f(5) \) and \( f(10) \)

\( f(5) \) is temperature at 5 minutes, \( f(10) \) at 10 minutes after placing in oven.

Step2: Interpret \( f(5) < f(10) \)

The inequality \( f(5) < f(10) \) means that the temperature of the yam 5 minutes after being placed in the oven is less than its temperature 10 minutes after being placed in the oven. In other words, the yam is getting hotter between 5 minutes and 10 minutes after being put in the oven (since the temperature at 5 minutes is lower than at 10 minutes).

Answer:

s:

• For \( f(0) = 65 \): The temperature of the yam when it was just placed in the oven (at 0 minutes) is 65 degrees.
• For \( f(5) < f(10) \): The temperature of the yam 5 minutes after being put in the oven is lower than its temperature 10 minutes after being put in the oven (the yam is heating up between 5 and 10 minutes).