# Find an exponential function that fits the experimental data collected over time

Find an exponential function that fits the experimental data collected over time t.

$\begin{array}{|cccccc|}\hline t& 0& 1& 2& 3& 4\\ y& 600.00& 630.00& 661.50& 694.58& 729.30\\ \hline\end{array}$

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Macsen Nixon

Let the exponential function be, $y=b\left(a{\right)}^{t}$

$600=b\left(a{\right)}^{0}$
$b=600$ And at $t=1$
$630=600\left(a{\right)}^{1}$

Therefore, the exponential function is $y=600\left(\frac{21}{20}{\right)}^{t}$.