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

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

Question
Modeling data distributions
asked 2021-02-11

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

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

 

Answers (1)

2021-02-12

Let the exponential function be, \(y=b(a)^{t}\)
\(\text{At}\ t=0\)
\(600=b(a)^{0}\)
\(b=600\) And at \(t=1\)
\(630=600(a)^{1}\)
\(a=\ \frac{630}{600}\)
\(a=\ \frac{21}{20}\) Therefore, the exponential function is \(y=600(\frac{21}{20})^{t}\).

0

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