The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of per hour. how many hours does it take for the size of the sample to double?

Step-by-step explanation:

Continuous exponential growth model:

Where α is the growth rate parameter.

So if t is the starting point and t+t1 is the point that population is doubled:

So:

And as a result, t1, the time needed for the population to double at ANY given point is equal to:

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.