Question

Let f(t) represent the tempreture of a turkey baking in a oven as a function of time in the oven (in minutes). This means time is the independent varible and tempreture of the turkey is the dependent varible. the turkey was in the oven for 360 minutes and then removed. Note that when something is baked in a oven, the tempreture of the oven stays constant Explain the meaning of each statement in the context of the situation using everyday language remember that the imput of the function t is the time in the oven and the output f(t) is the temperture of the turkey at that time

Answer 1

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.

Step-by-step 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.

Answer 2

Answer: ok f(t) is a function that says how the temperature of the turkey change as the time goes. When it says that the time is and independent variable and the temperature the dependent variable, it means that the time not depends on anything, you can let the turkey in the oven as much time as you want, but the temperature depends on the time the thing was on the oven, ence the temperature is dependent.

when yo say that the turkey was removed after 360 mins, this means that our function f(t) goes from t = 0mins to t =360mins, if the temperature of the oven remains constant, then the temperature of the turkey can only augment as a the time pases, until it has the same value than the temperature of the oven.