Answer:
(0, 0), (1, 4), (2, 8); 4
(0,0), (3, 1), (6, 2); 1/3
(0,0), (4, 2), (8, 4); 0.5
Step-by-step explanation:
3.
Part a:
Choose any 3 values for x. Plug them into the equation and find the corresponding y values.
y = 4x
Let x = 0:
y = 4x = 4(0) = 0
First point: (0, 0)
Let x = 1:
y = 4x = 4(1) = 4
Second point: (1, 4)
Let x = 2:
y = 4x = 4(2) = 8
Third point: (2, 8)
Answer to part a:
(0, 0), (1, 4), (2, 8)
The constant of proportionality is k in the equation of a proportional relationship, y = kx
y = 4x
Constant of proportionality: 4
Part b:
y = (1/3)x
Let x = 0, 3, 6 (one at a time)
For x = 0, y = (1/3)(0) = 0
For x = 3, y = (1/3)(3) = 1
For x = 6, y = (1/3)(6) = 2
Answer to part b:
(0,0), (3, 1), (6, 2)
Constant of proportionality: 1/3
Part c:
y = 0.5x
Let x = 0, 4, 8 (one at a time)
For x = 0, y = (0.5)(0) = 0
For x = 4, y = (0.5)(4) = 2
For x = 8, y = (0.5)(8) = 4
Answer to part b:
(0,0), (4, 2), (8, 4)
Constant of proportionality: 0.5
