Question

Write an equation that gives the proportional relationship of the graph.

A) y = 1/3 x

B) y = 2x

C) y = 3x

D) y = 6x

Answer 1

C)
`y=3x`

Explanation:

1) Checking the coordinate points (2,6), (4,12), (6,18), (8,24). And since the Proportionality Constant is given by

`k=(y)/(x)`

`k=(y)/(x)=(6)/(2)=(12)/(4)=(18)/(6)=(24)/(8)=3`

Then k=3

2) A Proportional Function is given by:

`y=kx`

Thus we can state that proportional function rule as:

`y=3x`

Answer 2

C

Explanation:

A proportional graph is a line. Every line has a slope. The slope is found by subtracting two points as a ratio. The line has points (0,0) and (2,6).

6-0 = 6

2 -0 = 2

The ratio is vertical over horizontal so 6/2 = 3.

The equation is y = 3x.