Let $ f(t) $ represent the temperature of a turkey baking in an oven as a function of time (in minutes).

- Independent Variable: Time in the oven ($ t $).
- Dependent Variable: Temperature of the turkey ($ f(t) $).

The turkey was in the oven for 360 minutes and then removed. Note that when something is baked in an oven, the oven's temperature stays constant.

Explain the meaning of each statement in the context of the situation using everyday language:

- The input of the function ($ t $) is the time the turkey has been in the oven.
- The output of the function ($ f(t) $) is the temperature of the turkey at that time.

In the scenario of turkey baking, the function f(t) indicates the turkey's temperature as time t in the oven progresses. The temperature is dependent on the time the turkey has spent in the oven, and if graphed, time is the independent variable on the x-axis and temperature f(t) is the dependent variable on the y-axis.

Explanation:

In the context of the turkey baking, f(t) represents the temperature of the turkey at any given time t, with t being the number of minutes the turkey has been in the oven. The function f(t) will show us how the turkey's temperature changes over the 360 minutes it spends in the oven. As time passes (t increases), the temperature of the turkey (f(t)) also increases up to a certain point. This change happens because the oven's constant temperature transfers heat energy to the turkey, causing its temperature to rise over time.

Once the turkey is removed from the oven after the specified time, its internal temperature will have reached the desired level for it to be considered properly cooked. If we were to graph this relationship, time t would be our independent variable and would be represented on the x-axis, while the temperature f(t) would be our dependent variable and represented on the y-axis.