Y = 450(2)' is the function that represents the number of bacteria in a laboratory sample after t
hours. How many bacteria will be in the sample
after 5 hours? What does the 450 represent in the
function?

Many systems exhibit exponential growth. These systems follow a model of the form y={y}_{0}{e}^{kt}, where {y}_{0} represents the initial state of the system and k is a positive constant, called the growth constant. Notice that in an exponential growth model, we have

{y}^{\prime }=k{y}_{0}{e}^{kt}=ky.

That is, the rate of growth is proportional to the current function value. This is a key feature of exponential growth. (Figure) involves derivatives and is called a differential equation. We learn more about differential equations in Introduction to Differential Equations in the second volume of this text.

Step-by-step explanation:this was an example hope it still helped brainlist will be apprishiatead thank you have a nice day :)

ddd

step-by-step explanation: