Abiologist recorded a count of 337 bacteria present in a culture after 5 minutes and 699 bacteria present after 15 minutes. to the nearest whole number, what was the initial population?

The initial population was 234.

Explanation

Formula for the exponential growth is:   , where P is the initial amount, A is the final amount, r is the rate of growth and  t  is the time duration.

There was 337 bacteria after 5 minutes and 699 bacteria after 15 minutes. So, the equations will be......

Now dividing equation (2) by equation (1) , we will get .......

Taking 'natural log' on both sides.........

Now, plugging this into equation (1), we will get......

So, the initial population was 234.

don't know sorry bru

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is