You can tell if it has direct variation by finding the slope and inserting it and the coordinates into point slope form.
You can find the slope by putting both sets of coordinates into the equation
y - y / x -x , where the first y and x are from one set of coordinates, and the next two are from the other set.
(7.5 - 3) / (11.25 - 4.5)
4.5 / 6.75
The slope is 2/3
Next, input the slope and the origin (0,0) into point-slope form.
y - y = m (x - x) Substitute.
y - 3 = 2/3 (x - 4.5) Distributive Property.
y - 3 = 2/3x - 8/15 Add 3 to both sides.
y = 2/3x + 37/15 Simplify.
y = 2/3x + 2 2/15
So you know that the line does not go through origin, because its y-intercept is 2 2/15.
For the second one do the same things.
y -y / x - x
(3 - 1.5) / (12 - 8)
1.5 / 4
3/8
y - y = m ( x - x )
y - 3 = 3/8 (x - 12)
y - 3 = 3/8x - 24/8
y = 3/8x - 0
y = 3/8x
So the second one goes through the origin because its y-intercept is 0. The answer is Table 2 has direct variation.
if you isolate y in the top equation to get y=5x+6 then you can substiture y for 5x+6 in the bottom equation because thats what y equals
as of now you have -3x+6(5x+6)=-12 but if you use the distrubite property you would get -3x+30x+36=-12
then if you subtract 36 from both sides you would get -3x+30x=-48 then combine like terms to get 27x=-48 then divide both sides by 27 to get 
or x≈1.8
Answer:
10 pounds of the $1.50 chocolates
20 pounds of the $0.90 chocolates
Hope this helps.
Answer:
x=12
Step-by-step explanation:
25°+114°+(5x-19)°=180°
139°+(5x-19)=180°
5x-19=180-139
5x-19=41
5x=41+19
5x=60
x=60/5
x=12
0.26 * 1/10 = 0.026
because 1/10 = 0.1
0.26 * 0.1 = 0.026
