Aculture started with 3000 bacteria. after 2 hours it grew to 3300 bacteria. predict how many bacteria will be present after 16 hours. round your answer to the nearest whole number.

Step-by-step explanation:

we have a exponential function of the form

where

y is the population of bacteria

a is the initial value

r is the rate of growth

x is the number of hours

we have

a=3,000 bacteria

For x=2, y=3,300

substitute

Apply square root both sides

substitute in the equation

Predict how many bacteria will be present after 16 hours

For x=16 hours

substitute

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square