If x and y are direct proportion and y is 2 when x is 6, find y when x is 9
If x and y are in direct proportion, it means that as x increases, y also increases at a constant rate.
To find the constant of proportionality, we can use the given values of x and y.
We know that when x is 6, y is 2.
So, x1 = 6, y1 = 2
Now, we need to find y when x is 9.
Using the constant of proportionality, we can set up the equation:
x1/y1 = x2/y2
Substituting the given values:
6/2 = 9/y2
Now, we can solve for y2.
Cross multiplying:
6y2 = 9*2
6y2 = 18
Dividing both sides by 6:
y2 = 18/6
y2 = 3
Therefore, when x is 9, y is 3.