Sara graphs a line passing through points that represent a proportional relationship. which set of points could be on the line that sara graphs?

Option B). (6,8),(0,0),(18,24)

Step-by-step explanation:

The options of the question are

A). (2,4),(0,2),(3,9)

B). (6,8),(0,0),(18,24)

C). (3,6),(4,8),(9,4)

D). (1,1),(2,1),(3,3)

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Verify each case

case A) (2,4),(0,2),(3,9)

This set of points not represent a proportional relationship because in a proportional relationship the intercepts must be equal to (0,0) and this set of points have the point (0,2)

case B) (6,8),(0,0),(18,24)

Find the constant of proportionality k

For x=6, y=8 ---->

For x=18, y=24 ---->

The line passes through the origin

The linear equation is

so

This set of points could be n the line that Sara graphs

case C) (3,6),(4,8),(9,4)

Find the constant of proportionality k

For x=3, y=6 ---->

For x=4, y=8 ---->

For x=9, y=4 ---->

The values of k are different

therefore

This set of points not represent a proportional relationship

case D) (1,1),(2,1),(3,3)

Find the constant of proportionality k

For x=1, y=1 ---->

For x=2, y=1 ---->

The values of k are different

therefore

This set of points not represent a proportional relationship

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.

yes because they have the same amount of green and blur marbles.

step-by-step explanation: