Question

Complete the table to show a relationship that is a

function that you haven't used yet. Be sure that you can
represent your function with an equation.
x (input)
1
2
3
4
5
y (output)
3
6
9
12
15
Describe the relationship between the input and output
values of your function. Then represent your function
with an equation.

Answer 1

A proportional relationship

`y=3x`

Explanation:

we know that

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

we have the points

(1,3) ---->
`k=y/x` ---->
`k=3/1=3`

(2,6) ---->
`k=y/x` ---->
`k=6/2=3`

(3,9) ---->
`k=y/x` ---->
`k=9/3=3`

(4,12) ---->
`k=y/x` ---->
`k=12/4=3`

(5,15) ---->
`k=y/x` ---->
`k=15/5==3`

therefore

The relationship between the input (x) and the output (y) represent a proportional relationship

The constant of proportionality is equal to k=3

The equation is equal to

`y=3x`