Y=5x²
y is not proportional to x however y is proportional to x² =y/x² 5 is a constant
QNo2 If x is directly proportional to y²,when x=9 and y= 3 if y=5 , find x
Solution..
X=Y²
Formula
X¹/ Y¹ =X² /Y²
X¹=9
X²=?
Y¹=3
Y²=5
X¹ Y²=X² Y¹
(9) (5)= x² (3)
45 /3 = x²
X² = 15
To find the value of x when y = 5, we can use the formula X¹/Y¹ = X²/Y², where X¹ and Y¹ are the initial values of x and y, and X² and Y² are the desired values of x and y.
Given that X¹ = 9 and Y¹ = 3, we can substitute these values into the equation:
9/3 = X²/5
We can now solve for X². By cross-multiplication:
3 * X² = 9 * 5
3X² = 45
Dividing both sides by 3:
X² = 45/3
X² = 15
Therefore, when y = 5, the value of x is 15.