Answer:
If y varies directly with the square of x, we can express this relationship using the equation:
y = kx^2
where k is the constant of proportionality. To find the value of k, we can use the given information that y is 16 when x is 8:
16 = k * 8^2
Simplifying the equation, we get:
16 = 64k
Dividing both sides by 64, we get:
k = 16/64 = 1/4
So the equation that relates y and x is:
y = (1/4)x^2
We can use this equation to find the value of y for any given value of x. For example, if x is 10, we have:
y = (1/4) * 10^2 = 25
Therefore, when x is 10, y is 25.