Question

Help! 20 points, I can’t figure it out and my daughter is in 7th grade. The hard middle school years aha

Answer 1

(0, 0), (1, 4), (2, 8); 4

(0,0), (3, 1), (6, 2); 1/3

(0,0), (4, 2), (8, 4); 0.5

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