Answer:
The 'constant of proportionality k' DOES NOT remain constant for all the points in the table.
Therefore, the table DOES NOT represent a proportional relationship between X and Y.
Step-by-step explanation:
We know that when y varies directly with x, we get
y ∝ x
y = kx
k = y/x
where k is called the 'constant of proportionality'.
Given the table
x 0 5 10 15
y 2 17 32 47
Let us calculate the k value for all the points
FOR (0, 2)
k = y/x
substitute x = 0, and y = 2
k = 2 / 0 = ∞
FOR (5, 17)
k = y/x
substitute x = 5, and y = 17
k = 17/5
k = 3.4
FOR (10, 32)
k = y/x
substitute x = 10, and y = 32
k = 32/10
k = 16/5
k = 3.2
FOR (15, 47)
k = y/x
substitute x = 15, and y = 47
k = 47/15
k = 3.1
It is clear that the 'constant of proportionality k' DOES NOT remain constant for all the points in the table.
Therefore, the table DOES NOT represent a proportional relationship between X and Y.
Answer:
Thank you
Step-by-step explanation:
Every one of the answers is correct except 3.4
Remember y ou can do anything to an equation as long as you do it to both sides
get 1x by itself
8x-12=4x+24
add 12 to both sides
8x=4x+36
minus 4x from both sides
4x=36
divide both sides by 4
x=9
1/2 and 3/8
equivalent
1/2 = 4/8
so 4/8 is greater than 3/8
Answer
5 1/2 is bigger than 5 3/8
