Question

(a) y is inversely proportional to the square of x.
1
Given that y = 10 when x = 3, find y when x = 1

Answer 1

Step-by-step explanation:

If x^2 and y are inversely proportional , then

(x^2) / y is a constant . That means For all x and y

(x^2) / y is a constant !

If x = 3 and y = 10 ,

(3^2) / 10 = c

9/10 = c

Therefore the constant is 9/10 .

If x = 1 ,

(1^2) / y = c

1 /y = 9/10

(9/10)y = 1

y = 10/9 !

THEREFORE IF x = 1 , THEN

y = 10/9 !