Question

If a microbiologist cultured 3000 cells at a rate of 7% how many days will it take for 360 new cells to reproduce

Answer 1

1.675 days

Explanation:

If 3000 cells are cultured at a daily growth rate of 7%, the expression that describes the total population after 't' days is:

`P = 3000*(1.07)^t`

When 360 cell are reproduced, the total population is 3000 + 360, and the time required for that condition to occur is:

`3000+360 = 3000*(1.07)^t\\1.12=1.07^t\\t=(ln(1.12))/(ln(1.07))\\ t=1.675\ days`

It will take 1.675 days for 360 new cells to reproduce.