Suppose y varies directly with x, and y = 8 when x = –6. What direct variation equation relates x and y? What is the value of y when x = –2?
(1 point)
a. y = –0.75x; 1.50
b. y = –1.33x; 2.67
c. y = 1.33x; –2.67
d. y = 0.13x; –0.25
To find the direct variation equation that relates x and y, we can use the formula y = kx, where k is the constant of variation.
Given that y = 8 when x = -6, we can substitute these values into the equation to find the value of k.
8 = k(-6)
Dividing both sides by -6, we get:
k = -8/6 = -4/3
So the direct variation equation relating x and y is y = (-4/3)x.
To find the value of y when x = -2, we can substitute this value into the equation:
y = (-4/3)(-2) = 8/3 ≈ 2.67
Therefore, the correct answer is b. y = –1.33x; 2.67.