A colony of 50 bacteria doubles in size every 170 minutes. What will the population be 680 minutes from now?

(not multiple choice)

You know that total time is 680. The population doubles every 170

680/170 = 4

The value of 4 means that the population will double four times or it goes through 4 iterations.

Initial Population = 50

1st iteration = 50 * 2 = 100 (it doubles the previous pop.)

2nd iteration = 100 * 2 = 200 (it doubles the previous pop.)

3rd iteration = 200 * 2 = 400 (it doubles the previous pop.)

4th iteration = 400 * 2 = 800 (it doubles the previous pop.)

Ok to start divide 680 by 170 which = 4

it doubles 50 each time so it would have doubled 4 times 50+50+50+50+50+50+50+50

1 1 2 2 3 3 4 4

100 200 300 400