Question

(a)

Y is
inversely proportional to the square of x.
The Given that y = 10 for a particular value of X,
find the value of y
when this value of x
is halved.

Answer 1

y = 40

Explanation:

y = k/x²

Let a = the x-value corresponding to y = 10

For x = a, y = 10

10 = k/a²

k = 10a²

The function is:

y = 10a²/x²

Now we halve the x-value a:

Let x = a/2.

y = 10a²/x²

y = 10a²/(a/2)²

y = 10a²/(a²/4)

y = 40