Question

Let f(t) represent the temperature of a turkey baking in an oven as a function of time t in the oven (in minutes). This means time is the independent variable and temperature of the turkey is the dependent variable. The turkey was in the oven for 360 minutes and then removed. Note that when something is baked in an oven, the temperature of the oven stays constant.

Explain the meaning of each statement in the context of the situation using everyday language. Remember that the input of the function t is the time in the oven and the output f(t) is the temperature of the turkey at that time.

1. f(0) = 50. (8 points)

2. f(120) > f(60). (8 points)

3. f(360) = f(345). (7 points)

4. f(390) < f(360). (7 points)

Answer 1

Explanation:

1. f(0) = 50. (8 points) The beginning temperature of the turkey was 50 degrees. The '0' represents "beginning."

2. f(120) > f(60). (8 points) The temperature of the turkey after 120 min (2 hours) is greater than that after 60 minutes (1 hour).

3. f(360) = f(345). (7 points) The temperature of the turkey is the same after 360 minutes as it is after 345 minutes.

4. f(390) < f(360). (7 points)

The temperature of the turkey drops after 360 minutes (6 hours), because the turkey is taken out of the oven and/or the oven is turned off.