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
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.
To find the direct variation equation that relates x and y, we can use the given information.
We know that y varies directly with x, which can be represented by the equation y = kx, where k is the constant.
To find the value of k, we can substitute the given values into the equation. We have y = 19/3 when x = 4/5:
19/3 = k * (4/5)
To solve for k, we can multiply both sides of the equation by 5/4:
(5/4) * (19/3) = k
k = (95/12)
So the direct variation equation that relates x and y is y = (95/12) * x.
To find the value of y when x = -7/6, we can substitute x = -7/6 into the equation:
y = (95/12) * (-7/6)
y = (-665/72)
Therefore, when x = -7/6, the value of y is -665/72.
To determine the direct variation equation that relates x and y, we can use the formula:
y = kx
where k is the constant of variation.
To find the value of k, we can substitute the given values of y and x into the equation:
19/3 = k * (4/5)
To solve for k, we can first multiply both sides of the equation by 5/4 to isolate k:
19/3 * 5/4 = k * (4/5) * 5/4
95/12 = k
So, the direct variation equation that relates x and y is:
y = (95/12)x
To find the value of y when x = -7/6, we can substitute that value into the equation:
y = (95/12) * (-7/6)
To simplify, we can cancel out common factors:
y = (95 * -7) / (12 * 6)
y = -665 / 72
Therefore, when x = -7/6, y is equal to -665/72.