<h2>
Answer/Step-by-step explanation:</h2>
Direct variation occurs when a variable varies directly with another variable. That is, as the x-variable increases, the y-variable also increases.
The ratio of between y-variable and x-variable would be constant.
Direct variation can be represented by the equation,
, where k is a constant. Thus,
![\frac{y}{x} = k](https://tex.z-dn.net/?f=%20%5Cfrac%7By%7D%7Bx%7D%20%3D%20k%20)
From the table given, it seems, as x increases, y also increases. Let's find out if there is a constant of proportionality (k).
Thus, ratio of y to x, ![\frac{0.50}{1} = 0.5](https://tex.z-dn.net/?f=%20%5Cfrac%7B0.50%7D%7B1%7D%20%3D%200.5%20)
k = 0.5.
If the given table of values has a direct variation relationship, then, plugging in the values of any (x, y), into
, should give us the same constant if proportionality.
Let's check:
When x = 2, and y = 1:
,
,
When x = 3, y = 1.5:
,
When x = 5, y = 2.50:
,
The constant of proportionality is the same. Therefore, the relationship forms a direct variation.
5 • 3 • 3 = 45
The answer would be:
45 Inches (cubed)
Answer:
x=-1
y=4
z=7
Step-by-step explanation:
3x + y - z= -6(1)
2x - y + 2z = 8(2)
4x + y - 3z = -21(3)
(1)+(2): 5x+z=2(4)
(2)+(3): 6x-z=-13(5)
(4)+(5): 11x=-11
x=-1
so z=2-5x=7
y=-6-3x+z=4
I believe the answer is C
18·8.7= 156.6
23·56.1= 1290.3
47·5.92=278.24