Question

A culture started with 1,000 bacteria. After 2 hours, it grew to 1,200 bacteria. Predict how many bacteria. Predict how many bacteria will be present after 13 hours.

-ROUND your answer to the nearest WHOLE NUMBER.
This is exponential growth.

Answer 1

On plato the answer is 3300

Explanation:

Answer 2

f=ir^t, f=final amount, i=initial amount, r=common ration or "rate", t=times common ration is applied or "time", in this case:

1200=1000r^2 divide both sides by 1000

1.2=r^2 take the square root of both sides

1.2^(1/2)=r so the equation is:

f=1000(1.2)^(t/2), so in 13 hours

f=1000(1.2)^(13/2)

f=1000(1.2)^(6.5)

f≈3271 bacteria (to the nearest whole number)