Answer :
Sure, let's break down the meanings of each statement regarding the turkey's temperature in the oven:
a. [tex]\( f(0) = 67 \)[/tex]:
This statement means that the temperature of the turkey was 67°F when it was initially placed in the oven. Here, [tex]\( t = 0 \)[/tex] represents the starting time, so this is the initial temperature of the turkey before any cooking has occurred.
b. [tex]\( f(3.75) = 165 \)[/tex]:
At [tex]\( t = 3.75 \)[/tex] hours, which is 3 hours and 45 minutes after the turkey was placed in the oven, the turkey's temperature reached 165°F. This indicates that by this time, the cooking process has raised the turkey's temperature to a safe level suitable for consumption, which is typically recommended at 165°F.
c. [tex]\( f(3) = f(4) \)[/tex]:
This implies that the temperature of the turkey was the same at 3 hours into cooking as it was at 4 hours. This suggests that the turkey's temperature had reached a stable point, possibly due to the oven maintaining a consistent temperature or the turkey reaching a point where it wasn't absorbing more heat as efficiently.
d. [tex]\( f(3.75) > f(4) \)[/tex]:
This means that at 3.75 hours, the turkey's temperature was higher than at 4 hours. This could suggest that after reaching 165°F at 3.75 hours, the turkey might start cooling down, possibly because the oven was turned off or the turkey was removed from the heat. It indicates a decrease in temperature after the peak at 3.75 hours.
a. [tex]\( f(0) = 67 \)[/tex]:
This statement means that the temperature of the turkey was 67°F when it was initially placed in the oven. Here, [tex]\( t = 0 \)[/tex] represents the starting time, so this is the initial temperature of the turkey before any cooking has occurred.
b. [tex]\( f(3.75) = 165 \)[/tex]:
At [tex]\( t = 3.75 \)[/tex] hours, which is 3 hours and 45 minutes after the turkey was placed in the oven, the turkey's temperature reached 165°F. This indicates that by this time, the cooking process has raised the turkey's temperature to a safe level suitable for consumption, which is typically recommended at 165°F.
c. [tex]\( f(3) = f(4) \)[/tex]:
This implies that the temperature of the turkey was the same at 3 hours into cooking as it was at 4 hours. This suggests that the turkey's temperature had reached a stable point, possibly due to the oven maintaining a consistent temperature or the turkey reaching a point where it wasn't absorbing more heat as efficiently.
d. [tex]\( f(3.75) > f(4) \)[/tex]:
This means that at 3.75 hours, the turkey's temperature was higher than at 4 hours. This could suggest that after reaching 165°F at 3.75 hours, the turkey might start cooling down, possibly because the oven was turned off or the turkey was removed from the heat. It indicates a decrease in temperature after the peak at 3.75 hours.
