Question

The accompanying table shows the number of bacteria present in a certain culture

over a 4 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 thousandth. Using this equation, determine the number of bacteria
present after 9 hours, to the nearest whole number.

Answer 1

Plot the points on the graphing calculator, then generate the exponential regression equation. That equation is

`f(x) = 852.650 ({1.082}^(x) )`

`f(9) = 1733`