Question

Y is directly proportional to the square of x.

When x is 5, y is 175.
Find the value of y when xis 11.

Answer 1

The value of y is 847 for x=11

Explanation:

It is given that y is directly proportional to the square of x

This can be written mathematically as:

`y \propto x^2`

Removing the proportionality symbol introduces a proportionality constant in the equation which is denoted by k

`y = kx^2`

Given that "When x is 5, y is 175"

`175 = k (5)^2\\175 = k*25\\k = (175)/(25)\\k = 7`

Putting the value of k

`y = 7x^2`

Now putting x = 11

`y = 7(11)^2\\y = 7 * 121\\y = 847`

Hence,

The value of y is 847 for x=11