What is an example of direct square variation?

Answer 1

The area of a square varies directly with the square of its side length.

The kinetic energy of a body in motion varies directly with the square of its speed.
Direct variation relations have the form y = kx where x and y are variables and k is a non-zero constant.

examples :. D is proportional to T^2, so D = KT^2, where K is a constant. Since K = 1/2, D = (1/2)T^2

B. When D = 256, 256 = (1/2)T^2

T^2 = 256*2

T = 16sqrt(2), or approx 22.6 seconds

C. D = (1/2)*5^2 = 12.5 feet
y=mx+b

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No, that is a linear variation. Direct variation is y = mx. For a direct variations, both variables must be 0 together.
direct square variation is a function that relates the same or equal constant ratio.
one quantity varies directly as the square of the other quantity.

in symbols, y = kx squared
a direct variation question is like this y=kx (its straight forward where as a partial variation question is like this y= mx + b the B is another PART of the equation so a direct varition question could be 10=5(2) y=kx