Question

A bacteria culture initially contains 2000 bacteria and doubles every half hour.

Answer 1

Answer:

the size of the bacterial population after 100 minutes is 20,158.7 bacteria

the size of the bacterial population after  10 hours is 2097152000 bacteria

Step-by-step explanation:

Given that

The bacteria contains 2000

It would be double at every half hour

We need to find out the size of the bacteria after 100 minutes & 10 hours

So,

The size of the bacteria after 100 minutes is

= 2000 × 2^(100 ÷ 30)

= 2000 × 10.079

= 20,158.7 bacteria

Now the size of the bacteria after 10 hours is

10 hours = 10 × 60 minutes = 600 minutes

= 2000 × 2^(600 ÷ 30)

= 2097152000 bacteria