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AURORKA [14]
2 years ago
7

At the beginning of an environmental study, a forest covered an area of 1500 km. Since then, this area has decreased by 7.25% ea

ch year
Let t be the number of years since the start of the study let y be the area that the forest covers in km?

Write an exponential function showing the relationship between y and t
Mathematics
1 answer:
WITCHER [35]2 years ago
5 0

\qquad \textit{Amount for Exponential Decay} \\\\ y=P(1 - r)^t\qquad \begin{cases} y=\textit{current amount}\\ P=\textit{initial amount}\dotfill &1500\\ r=rate\to 7.25\%\to \frac{7.25}{100}\dotfill &0.0725\\ t=\textit{elapsed time}\dotfill &t\\ \end{cases} \\\\\\ y=1500(1-0.0725)^t\implies y=1500(0.9275)^t

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