Choose the One Alternative That Best Completes the Statement or Answers

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
-The following data represent the bacteria population in a laboratory experiment. The researchers suspect that the population is growing exponentially. Find the exponential equation of best fit.
$\begin{array}{l|l}\text { Day, } x & \text { Population, } y \\\hline 0 & 1952 \\1 & 5319 \\2 & 14410 \\3 & 39279 \\4 & 106845 \\5 & 290613\end{array}$

A) $\mathrm { y } = 3.291 + 0.435 \mathrm { x }$
B) $\hat { y } = 3.458 + 1.151 x$
C) $\mathrm { y } = - 7.537 + 2.301 \mathrm { x }$
D) $\mathrm { y } = - 50,222.143 + 50,650.057 \mathrm { x }$