The accompanying table shows the number of bacteria present in a certain culture over a 5 hour period, where x is the time, in hours, and y is the number of bacteria. Write an exponential regression equation for this set of data, rounding all coefficients to the nearest hundredth. Using this equation, determine how long, to the nearest tenth of an hour, until there are 4295 bacteria.
Hours (x) Bacteria (y)
0 1136
1 1175
2 1403
3 1560
4 1809
5 2197
solve for the regression equation and the final answer