Question

TUJJDLLTIJ. TU 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? O y=-0.75r, 1.50 O y=-1.33x; 2.67 O y=0.13x; -0.25 O y = 1.33x; -2.67

Answer 1

y= -1.33x; 2.67 (option B)

Step-by-step explanation:

a) For a direct variation:

y = kx

where k = constant of proportionality

when y = 8, x = -6

8 = k(-6)

8 = -6k

k = 8/-6

k = -4/3

The relationship between y and x becomes:

y = (-4/3)x

-4/3 = -1.33

y = -1.33x

b) when x = -2, y = ?

We insert the value of x into the relationship between y and x: y = -1.33x

y = -1.33(-2)

y = 2.67 (option B)