Question

Suppose the 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

A. Y=-0.75x,1.50
B. Y=-1.33x,2.67
C.y=1.33x,2.67
D. Y=0.13x, -0.25

Answer 1

The answer is b !!!!i think

Answer 2

B

Explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition that y = 8 when x = - 6, thus

k =
`(y)/(x)` =
`(8)/(-6)` = -
`(4)/(3)` ≈ - 1.33

y = -
`(4)/(3)` x ← equation of variation

When x = - 2, then

y = -
`(4)/(3)` × - 2 =
`(8)/(3)` ≈ 2.67