The number of bacteria after 5 hours will be 409600. The above Calculation can be easily done by the exponential growth method.
in one hour, there are 2 half hours
then in 5 hours, there are 10 half hours
or exponential growth we have
Total bacteria = [tex]initial bacteria \times 2^{ number of half hours}[/tex]
Total bacteria = [tex]400 \times 2^ {10}[/tex]
Total bacteria = [tex]400 \times 1024 = 409600[/tex]
What is Exponential Growth?
- Quantity rises over time through a process called exponential growth. It happens when the derivative, or instantaneous rate of change, of a quantity with respect to time is proportionate to the original quantity.
- A quantity that is growing exponentially is referred to as an exponential function of time, meaning that the exponent is the variable that represents time (in contrast to other types of growth, such as quadratic growth).
- The amount declines over time and is said to be experiencing exponential decay if the constant of proportionality is negative.
- It is also known as geometric growth or geometric decay when the discrete domain of definition has equal intervals since the function values form a geometric progression.
To know more about Exponential Growth with the given link
https://brainly.com/question/11487261
#SPJ4
