Question

What is the constant of proportionality shown in the
table?

Answer 1

Answer:

0.5

Step-by-step explanation:

An equation is written as :

• y = kx
• k is the constant of proportionality

Taking the first row data (x = 2, y = 1),

• y = kx
• 1 = 2k
• k = 1/2
• k = 0.5

Answer 2

Answer:

Option A, 0.5

Step-by-step explanation:

Step 1:  Determine the slope/proportionality

$Slope = \frac{y_2 - y_1}{x_2 - x_1}$

$Slope = \frac{1.5-1}{3-2}$

$Slope = \frac{0.5}{1}$

$Slope =0.5$

Answer:  Option A, 0.5