Question

The population of bacteria in a petri dish doubles every 24 h. The population of the bacteria is initially 500 organisms.

How long will it take for the population of the bacteria to reach 800?

Round your answer to the nearest tenth of an hour.

Answer 1

Answer:

16.3h

Step-by-step explanation:

population 2x in 24 h

going from 500 to 800 is less than double so ans is <24h

solving t:  2^(t/24)=800/500

t/24=ln(8/5)/ln2

t=24*ln(8/5)/ln2

=16.3

Answer 2

The time it would take the population of bacteria in the petri dish to reach 800 is 11 hours.

How long would  it take for the population of the bacteria to reach 800?

The time needed for the population to become 800 can be determined using this formula:

Number of years =  (in FV / PV) / r

• FV = future value
• PV = present value
• r = interest rate

(IN 800 / 500) / 1 = 0.47 = 11 hours

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