Question

Y is directly proportional to the square of x.

Answer 1

Answer:

The value of y is 847 for x=11

Step-by-step 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"

$175 = k (5)^2\\175 = k*25\\k = \frac{175}{25}\\k = 7$

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