The variable y varies directly to the variable x. if y = 9, when x = 5, what is the value of y when x = 20? show your work to find the constant of variation (k) write the equation using the constant of variation (k).

show your work to find the value of y when x = 20.

For this case we have that if "and" varies directly proportional to "x", it follows that:

Where:

k: It is the constant of proportionality.

Then, we look for the value of "k":

So, now we look for the value of "y" when x = 20.

Thus, the value of y is 36

Final answer is y=36 and the constant of variation is k=9/5.

Step-by-step explanation:

Given that the variable y varies directly to the variable x.

Then we can write equation as y=kx

Were k is the constant of variation.

Given that If y = 9, then x = 5.

Plug these values into above equation, we get:

y=kx

9=5k

5k=9

k=9/5

Now we need to find the value of y when x = 20. So plug x = 20 and k=9/5 into above formula

y=kx

y=(9/5)(20)

y=180/5

y=36

Hence final answer is y=36 and the constant of variation is k=9/5.

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.

10 b/c 5*2 =10

step-by-step explanation: