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

Answer:

A proportional relationship

$y=3x$

Step-by-step 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

$y=3x$