Question

A proportional relationship is shown in the table below.

$x$	0	3	6	9
$y$	0	1	2	3

Which of the following graphs represent this relationship?

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

$\text{Detailed step-by-step solution:}$
$\text{Drawing the graph by plotting the points:}$
For the graph, y = mx, the points are given by $(x,y)$.
Using the table, points on the graph will be:
$\text{A(0, 0), B(3, 1), C(6, 2), and D(9, 3)}$
Plotting the graph using these points, we get:


The graph which is identical to the above graph is the graph given in option B.
Let’s also check the other graphs. In all of these graphs, the line passes through the origin. Let’s check one other point in each for $x=3$.
In option A, $y=6$ for $x=3$.
In option C, $y$ would have been 9 for $x=3$.
In option D, $y=1.5$ for $x=3$.
➡Option B is correct.