1a). use,

solve for k.

1b). Put the value of k in the equation

and solve for

2). initial number of cells

final number of cells

doubling time d = 4 min

total time, t = ?

a) use,

t = 48 min

b) number of bacteria after t = 1 hour = 60 min (when vial is full)

number of bacteria when vial is full = 32768.

number of bacteria when vial is half-full

time t = ?

t = 56 min

the vial is half full after 5:56 am

c) the vial is full after one hour, i e, at 6:00 am