A bacteria triples its original population in 40 hours (A=3A0). How big will its population be in 120 hours? his problem requires two main steps. First, we must find the unknown rate, k. Then, we use that value of k to help us find the unknown number of bacteria.
Identify the variables in the formula.
AA0ktA=3A0=?=?=40 hours=A0ekt
Substitute the values in the formula.
3A0=A0ek⋅40
Solve for k. Divide each side by A0.
3A0A0=e40k
Take the natural log of each side.
ln3=lne40k
Use the power property.
ln3=40klne
Simplify.
ln3=40k
Divide each side by 40.
ln340=k
Approximate the answer.
k≈0.027
We use this rate of growth to predict the number of bacteria there will be in 120 hours.
AA0ktA=3A0=?=ln340=120 hours=A0ekt
Substitute in the values.
A=A0eln340⋅120
Evaluate.
A=27A0

At this rate of growth, we can expect the population to be 27 times as large as the original population.

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.

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step-by-step explanation: