Using exponential function concepts, it is found that the correct sentence is given by:
The temperature difference is reduced by a factor of [tex]\frac{3}{4}[/tex] every 9.7 seconds.
What is an exponential function?
A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^\frac{t}{n}[/tex]
In which:
- A(0) is the initial value.
- r is the decay rate every n instants of time, as a decimal.
In this problem, the function is given by:
[tex]D(t) = 256\left(\frac{1}{4}\right)^{\frac{t}{9.7}}[/tex]
The decay rate is given by:
[tex]1 - r = \frac{1}{4} \rightarrow r = \frac{3}{4}[/tex]
Hence, the sentence is:
The temperature difference is reduced by a factor of [tex]\frac{3}{4}[/tex] every 9.7 seconds.
More can be learned about exponential function concepts at https://brainly.com/question/25537936
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