A culture started with 3000 bacteria. after 6 hours, it grew 3600 bacteria. predict how many bacteria will be present after 13 hours

In the case of bacteria, we use the continuous growth equation:

Final=Initial*e∧ (r*t)

In other words, the final amount is equal to the initial amount times e to the rate times time. In order to find your rate, you would plug in the numbers as follows:

3600=3000*e∧ (6r)

Therefore: r=0.03

Next, you would plug in the r value and 13 hours into the equation to solve for the final amount.

F=3000*e∧ (13*0.03) = 4,453 bactera after 13 hours