The graph of a proportional relationship passes through the points (4,3) and (x,9). Find x.
Since proportional means y = kx, the point (4,3) means
y = 3/4 x
So, (12,9) is on the graph.
To solve for x, we need to recognize that in a proportional relationship, the ratio between the y-values (output) and the x-values (input) remains constant.
In this case, since the relationship is proportional, we can set up the following equation:
3/4 = 9/x
To solve for x, we can cross multiply:
3x = 9 * 4
Now, we can solve for x by dividing both sides of the equation by 3:
x = (9 * 4) / 3
Simplifying the right side gives:
x = 36 / 3
Finally, performing the division gives:
x = 12
Therefore, the value of x is 12.