A laboratory researcher observes that a culture of cells tri

A laboratory researcher observes that a culture of cells triple in size in 4 days. How large will the culture be in a week if the population grows exponentially?

Solution

The equtaion that can represent the growth :

N = No(1+r)^t where r is growth rate

cells triple in size in 4 days : 3No = No(1+r)^4

3 = (1+r)^4

1+r = 3^1/4

Now , culture would be in a week :

N(t) = No(1+r)^7

= No(3^1/4)^7

= No3^(7/4)

= No(6.84)

culutre would be 6.84 times in 7 days