Determine if the values in the table are proportional by finding the constant of proportionality (k). show your work to indicate what the constant (k) is.

write an equation to show that y is directly proportional to x using the constant.

determine the value of y if x = 6.

The values in the table are proportional with the constant of proportionality

For the given table the equation can be written as :

The value of when

Step-by-step explanation:

From a given data with points the constant of proportionality can be calculated as:

For the given data we will find the constant of proportionality for each point.

1)

2)

3)

4)

We see that for each set of points we get the same value of . This shows that the values in the table are proportional with the constant of proportionality

The equation of directly proportional to can be written as :

where is the constant of proportionality

For the given table the equation can be written as :

To find value of when , we will plugin 6 in place of in the equation and solve for

So, we have.

So, value of when

the answer is 5/3x+7/5y+7