Question

Suppose y varies directly as x, and y = -3 when x = 6. Which of the following is the correct equation to set up to solve for the constant of variation?

a) -3 = k(6)
b) 6/-3 = 2/x
c) -3 = k(2)
d) 6/-3 = x/2

Answer 1

The correct equation to solve for the constant of variation when y varies directly as x, and y = -3 when x = 6, is -3 = k(6).

Step-by-step explanation:

The question asks us to determine the correct equation for solving the constant of variation when y varies directly as x and given that y = -3 when x = 6. For direct variation, the formula is y = kx, where k is the constant of variation. To find the value of k, we substitute the given values into the equation, resulting in -3 = k(6). Therefore, the correct option is (a) -3 = k(6).