a culture started with 3000 bacteria. After 5 hours it grew to 3900 bacteria. Predict how many will be present after 9 hours

4811

Step-by-step explanation:

The multiplier in 5 hours is 3900/3000 = 1.3, so we can write the exponential growth function as ...

n (t) = (initial number) · (growth factor) ^ (t / (time for growth factor))

n (t) = 3000·1.3^ (t/5)

Then the number present after 9 hours is ...

n (9) = 3000· (1.3^9/5) ≈ 4811