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

Answer 1

To find the direct variation equation relating x and y, we can use the formula: y = kx, where k is the constant of variation.

Given that y = 19/3 when x = 4/5, we can substitute these values into the direct variation equation to find k:

19/3 = k(4/5).

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

(19/3)(5/4) = k(4/5)(5/4)
95/12 = k.

So, the direct variation 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.

Therefore, when x = -7/6, y = -665/72.