2.) suppose y varies directly with x, and y= 10 when x= -3. what direct variation equation relates x and y? what is the value of y when x_ -1?

a. y= -3/10 x; 3/10

b. y= 1/10 x; -3/10

c. y= 10/3 x; -10/3

d. y= -10/3 x; 10/3

3.) 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?

a. y= -0.75x; 1.50

b. y= -1.33x; 2.67

c. y= 1.33x; -2.67

d. y= 0.13x; -0.25

4.) the equation of the line on the graph below is a direct variation equation. what is the constant of variation?
(it won't let me attach a graph so if you know what the graph is then in advance)

a. 1/4

b. 1/2

c. 3/4

d. 1

5.) for the data in the table, does y vary directly with x? if it does, choose an equation for the direct variation.

x y
8 11
16 22
24 33

a. yes; y = 2.75x

b. yes; y= 0.6875x

c. yes; y = 1.375x

d. no; y does not vary directly with x

    2.) D

    3.) B

    4.) See attached graph

    5.) C

Step-by-step explanation:

2.)

We are told that "y" varies directly with "x"

So the equation is of the form y = K*x

y= 10 when x= -3.

K = 10/-3

Correct answer = D

3.)

We are told that "y" varies directly with "x"

So the equation is of the form y = K*x

y=8 when x= -6.

K = 8/-6 = -4/3 = -1.3333

Correct answer = B

4)

We are told that the equation is a direct variation. In the attached picture I plotted all the possible options, since you didn't attach the corresponding image.

We can see that all graphs are direct variations winth different slopes (constant of variation)

A. K = 0.25

B. K = 0.5

C. K = 0.75

D. K = 1

5)

To find out if y varies directly with x, we divide several points and find the realtion between them

y = K*x

11/8 = K

22/16 = 11/8 = K

33/24 = 11/8 = K

K = 11/8 = 1.375

It is a direct variation

Correct answer = C

47 - 90 = 43

43 - 180 = x

x = 137

a.)the line for function b is steeper