a strain of bacteria doubles every two hours. if the original population of bacterium was 28,000, what will…
a strain of bacteria doubles every two hours. if the original population of bacterium was 28,000, what will the population of bacteria be after 2 days? round your answer to the nearest whole number, if necessary.
Answer
Answer:
$1835008000$
Explanation:
Step1: Calculate the number of 2 - hour intervals
There are 24 hours in a day, so in 2 days there are $2\times24 = 48$ hours. Each interval is 2 hours long, so the number of 2 - hour intervals $n=\frac{48}{2}=24$.
Step2: Use the exponential - growth formula
The population growth formula for this situation is $P = P_0\times2^n$, where $P_0$ is the initial population and $n$ is the number of growth intervals. Given $P_0 = 28000$ and $n = 24$. Then $P=28000\times2^{24}$.
Step3: Calculate $2^{24}$
$2^{24}=16777216$.
Step4: Calculate the final population
$P = 28000\times16777216=1835008000$.