We appreciate your visit to The function tex f t 349 2 0 98 t tex models the relationship between tex t tex the time an oven spends cooling and. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
We are given the model
[tex]$$
f(t) = 349.2 \cdot (0.98)^t,
$$[/tex]
which relates the cooling time [tex]$t$[/tex] to the oven temperature [tex]$f(t)$[/tex]. The table below shows measured temperatures at various times:
[tex]\[
\begin{array}{|c|c|}
\hline
t \ (\text{minutes}) & f(t) \ (\text{degrees Fahrenheit}) \\ \hline
5 & 315 \\ \hline
10 & 285 \\ \hline
15 & 260 \\ \hline
20 & 235 \\ \hline
25 & 210 \\ \hline
\end{array}
\][/tex]
The measured temperatures range from a maximum of [tex]$315^\circ\text{F}$[/tex] to a minimum of [tex]$210^\circ\text{F}$[/tex]. The model will give the most reliable predictions when the temperature is within this interval because the model is based on these values.
We are asked to choose the temperature for which the model most accurately predicts the time spent cooling from these choices: [tex]$0^\circ\text{F}$[/tex], [tex]$100^\circ\text{F}$[/tex], [tex]$300^\circ\text{F}$[/tex], and [tex]$400^\circ\text{F}$[/tex].
Since [tex]$300^\circ\text{F}$[/tex] lies between [tex]$210^\circ\text{F}$[/tex] and [tex]$315^\circ\text{F}$[/tex], it is the temperature within the range of the measured data. Thus, the model will most accurately predict the cooling time for a temperature of
[tex]$$
300^\circ\text{F}.
$$[/tex]
So, the answer is [tex]$\boxed{300}$[/tex].
[tex]$$
f(t) = 349.2 \cdot (0.98)^t,
$$[/tex]
which relates the cooling time [tex]$t$[/tex] to the oven temperature [tex]$f(t)$[/tex]. The table below shows measured temperatures at various times:
[tex]\[
\begin{array}{|c|c|}
\hline
t \ (\text{minutes}) & f(t) \ (\text{degrees Fahrenheit}) \\ \hline
5 & 315 \\ \hline
10 & 285 \\ \hline
15 & 260 \\ \hline
20 & 235 \\ \hline
25 & 210 \\ \hline
\end{array}
\][/tex]
The measured temperatures range from a maximum of [tex]$315^\circ\text{F}$[/tex] to a minimum of [tex]$210^\circ\text{F}$[/tex]. The model will give the most reliable predictions when the temperature is within this interval because the model is based on these values.
We are asked to choose the temperature for which the model most accurately predicts the time spent cooling from these choices: [tex]$0^\circ\text{F}$[/tex], [tex]$100^\circ\text{F}$[/tex], [tex]$300^\circ\text{F}$[/tex], and [tex]$400^\circ\text{F}$[/tex].
Since [tex]$300^\circ\text{F}$[/tex] lies between [tex]$210^\circ\text{F}$[/tex] and [tex]$315^\circ\text{F}$[/tex], it is the temperature within the range of the measured data. Thus, the model will most accurately predict the cooling time for a temperature of
[tex]$$
300^\circ\text{F}.
$$[/tex]
So, the answer is [tex]$\boxed{300}$[/tex].
Thanks for taking the time to read The function tex f t 349 2 0 98 t tex models the relationship between tex t tex the time an oven spends cooling and. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
