Suppose y varies directly with x, and y = 19/3when x =4/5. What direct variation equation relates x and y? What is the value of y when x = -7/6

1 answer

The direct variation equation relating x and y can be written as y = kx, where k is the constant of variation. We can solve for k using the given values of y and x.

Since y varies directly with x, we have (19/3) = k(4/5).

To solve for k, we multiply both sides of the equation by (5/4):

(19/3) * (5/4) = k * (4/5) * (5/4)
(19/3) * (5/4) = k

(95/12) = k

Therefore, the equation relating x and y is y = (95/12)x.

To find the value of y when x = -7/6, we substitute this value into the equation:

y = (95/12) * (-7/6)
y = -665/72