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

Answer:

1.675 days

Step-by-step 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:

$3000+360 = 3000*(1.07)^t\\1.12=1.07^t\\t=\frac{ln(1.12)}{ln(1.07)}\\ t=1.675\ days$

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