# A culture of bacteria is growing at a constant rate of 5% an hour. If the culture started with 3000 bacteria at 6:00 a.m. on Tuesday, calculate the approximate time that the bacteria population will reach 72,000?

Feb 17, 2016

$72 , 000 = 3000 \times {\left(1 + 0.05\right)}^{x}$ solve for$\text{ " x" }$(hours from the start) and add them to the 06:00 start time and day.

#### Explanation:

The equation for exponential growth is:
$y = a {\left(1 + r\right)}^{x}$
Where:
a = initial amount before measuring growth
r = growth/decay rate (often a percent)
x = number of time intervals that have passed