Question

The value of y varies inversely with the square of x, and y = 4, when x = 5. What is y when x=10

Answer 1

The value of x when y = 9 is x = 2 or x = -2

Explanation:

Given that value of y varies inversely as the square of x, and y=4, when x=3.

Therefore the initial statement is:

`y x (1)/(x^(2) )`

Answer 2

Explanation:

`y=k/x^(2)`

when y=4, x=5. Therefore:

`4=k/5^2`

`k=100\\`

If
`k=100, x=10 \\`

then
`y=100/10^2`

y=1