Question

If y varies directly as x, and x = 12 when y = 9, what is the equation that describes this direct variation?

A) y = 12x
B) y = x/12
C) y = 9x
D) y = 12/x

Answer 1

The equation that describes this direct variation is y = 3x.

Step-by-step explanation:

The equation that describes this direct variation is y = 3x.

This is because if y varies directly as x, it means that the ratio of y to x is always constant. In this case, when x = 12, y = 9. To find the constant of variation, we can divide y by x: 9/12 = 3/4. Therefore, the equation that describes this direct variation is y = 3x.