Bacterium doubling time

Question

suppose that the doubling time of a bacterium is 32 hours and the initial amount is 20 How much do you have after a week? How long will it take to have 100? Graph the growth function in time t in hours

Answer 1

This forum is not set up for graphing.

 

A(t) = 20 (2)^t/32,

 

where t = hours elapsed since A was 20.

 

After 1 week, t = 7(24) hours

 

A = 20 (2)^7(24)/32 = ?

 

To reach 100,

 

100 = 20 (2)^t/32

 

Solve for t.

 

5 = 2^t/32

 

log5 = (t/32) log2

 

t = (32 log5 / log2) hours = ? hours