Answer :
We start by noting that the oven's cooling data ranges from approximately [tex]$315^\circ\text{F}$[/tex] (after 5 minutes) to about [tex]$210^\circ\text{F}$[/tex] (after 25 minutes). The model
[tex]$$ f(t)=349.2\,(0.98)^t $$[/tex]
was determined based on these data. This means that the model’s predictions are most reliable for temperatures within the measured range, which is between about [tex]$210^\circ\text{F}$[/tex] and [tex]$315^\circ\text{F}$[/tex].
Given the temperature options:
[tex]$$ 0^\circ\text{F},\quad 100^\circ\text{F},\quad 300^\circ\text{F},\quad 400^\circ\text{F} $$[/tex]
we can see that only [tex]$300^\circ\text{F}$[/tex] falls within the range of the recorded data.
Thus, the model will most accurately predict the cooling time when the oven temperature is about [tex]$300^\circ\text{F}$[/tex].
[tex]$$ f(t)=349.2\,(0.98)^t $$[/tex]
was determined based on these data. This means that the model’s predictions are most reliable for temperatures within the measured range, which is between about [tex]$210^\circ\text{F}$[/tex] and [tex]$315^\circ\text{F}$[/tex].
Given the temperature options:
[tex]$$ 0^\circ\text{F},\quad 100^\circ\text{F},\quad 300^\circ\text{F},\quad 400^\circ\text{F} $$[/tex]
we can see that only [tex]$300^\circ\text{F}$[/tex] falls within the range of the recorded data.
Thus, the model will most accurately predict the cooling time when the oven temperature is about [tex]$300^\circ\text{F}$[/tex].
