An initial population of 7 chipmunks in mary's yard increases by 6% each year. if the function f(x) = abx models this situation, what is the population of the chipmunks in 5 years? (to the nearest whole number)

a) 9 chipmunks
b) 11 chipmunks
c) 15 chipmunks
d) 20 chipmunks

A. 9 chipmunks

Step-by-step explanation:

We are given that,

The initial population of chipmunks = 7

The rate of increase = 6% = 0.06

Since, the exponential growth function is modeled by, , where , 'r' = rate of increase and 'x' is the number of years.

So, we have, on comparing,

Then, the function modeling the given situation is, .

So, the population after 5 years is given by,

i.e.

i.e. f(5) ≈ 9.

Thus, there are 9 chipmunks after 5 years.

Hence, option A is correct.

where are the options?

step-by-step explanation:

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.