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Answer :
The equation that can be used to the number of grams remaining from the original sample t hours is: [tex]A = (157) e^{k(82)}[/tex].
What is exponential equation?
A mathematical function called an exponential function is employed frequently in everyday life. It is mostly used to compute investments, model populations, determine exponential decline or exponential growth, and so forth. The formula for an exponential function is f (x) = axe, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.
Given that,
t = 82 hours.
Ao = 157 kg
The exponential equation that can be used calculate the number of grams remaining from the original sample t hours after the scientist collected it is:
[tex]A = A_o e^{kt}[/tex]
Substitute the value of Ao = 157 and t = 82 hours:
[tex]A = (157) e^{k(82)}[/tex]
Hence, the equation that can be used to the number of grams remaining from the original sample t hours is: [tex]A = (157) e^{k(82)}[/tex].
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