If x and y are direct proportion and y is 7 when x is 14, find y when x is 12
To solve this problem, we can use the concept of direct proportion.
If x and y are directly proportional, it means that their ratio remains constant.
In this case, y is 7 when x is 14, so we can set up the proportion:
x1/y1 = x2/y2
Where x1 = 14, y1 = 7, and x2 = 12 (the value we want to find), and y2 is what we are looking for.
Substituting the values into the proportion, we get:
14/7 = 12/y2
Cross multiplying, we have:
14y2 = 12 * 7
14y2 = 84
Dividing both sides by 14 to solve for y2, we find:
y2 = 6
Therefore, when x is 12, y is 6.