QuestionA strain of bacteria is placed into a petri dish at $30^{\circ} \mathrm{C}$ and allowed to grow. The following data are collected. Theory states that the number of bacteria in the petri dish will initially grow according to the law of uninhibited growth. The population is measured using an optical device in which the amount of light that passes through the petri dish is measured. Complete parts (a)-(e). \begin{tabular}{|cc|} \hline Time (hours), $\mathbf{x}$ & Population, $\mathbf{y}$ \\ \hline 0 & 0.23 \\ \hline 2.5 & 0.43 \\ \hline 3.5 & 0.60 \\ \hline 4.5 & 0.80 \\ \hline 6 & 1.13 \\ \hline \end{tabular} (a) Treating time, x , as the predictor variable, use a graphing utility to fit an exponential function to the data. $$\mathrm{y}=\mathrm{ab}^{\mathrm{x}}=\square$$ (Round to four decimal places as needed.)