a culture started with 1,000 bacteria. after 5 hours, it grew to 1,200 bacteria. predict how many bacteria will be present after 11 hours. round your answer to the nearest whole number.

Respuesta :

irspow
This is exponential growth of the form:

f=ir^t, f=final value, i=initial value, r=rate, t=time

Let's solve for the rate given the point provided....

1200=1000r^5

1.2=r^5

r=1.2^(1/5)

So our equation is:

f=1000(1.2^(1/5)^t) which is equal to 

f=1000(1.2)^(t/5) so when t=11

f=1000(1.2)^(11/5)

f≈1493  (to nearest whole number)

Answer:

1500

Step-by-step explanation:

Plato, just took the quiz.