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:
[tex]y \propto x^2[/tex]
Removing the proportionality symbol introduces a proportionality constant in the equation which is denoted by k
[tex]y = kx^2[/tex]
Given that "When x is 5, y is 175"
[tex]175 = k (5)^2\\175 = k*25\\k = \frac{175}{25}\\k = 7[/tex]
Putting the value of k
[tex]y = 7x^2[/tex]
Now putting x = 11
[tex]y = 7(11)^2\\y = 7 * 121\\y = 847[/tex]
Hence,
The value of y is 847 for x=11
