An initial number of bacteria presented in a culture is 1,000. This number triples every 30 minutes. Write a function expressing the number of bacteria over time.

Respuesta :

tripiling time is
[tex]A=P(3)^ \frac{t}{r} [/tex]
t=time elapsed
r=tripling time
P=initial amount


so


[tex]A=1000(3)^ \frac{t}{30} [/tex]
when time is measured in minutes
if measured in hours then

[tex]A=1000(3)^{2t} [/tex] or[tex]A=1000(9)^{t} [/tex]