Question

Step 3-Proportional or Non-Proportional Functions Practice - Digital 18 16 +4 12 -0.6 1810 2 16 18 Ф Is this a function? Yes No How do you know? Is this proportional? Yes No

Answer 1

Remember that

A relation between two variables x and y is a function, if for one value of x there are only one value of y

In this problem

for one value of x there are one value of y

therefore

Is a function

we know that

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

y=kx

where

k is the constant of proportionality

k=y/x

Find the value of k

For x=2, y=4

k=6/2=2

For x=3, y=6

k=6/3=2

For x=-2, y=-4

k=-4/-2=2

The value of k is the same, that means, Its a proportional relationship

the linear equation is

y=2x