Question

Identify the constant of proportionality from the table

x y
2 12
4 24
5 30
9 54
A. 1/6
B. 2
C. 12
D. 6

Answer 1

Answer: D) 6

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Step-by-step explanation:

Direct proportion equations are in the form y = kx, for some constant k.

The k value is the constant of proportionality. Solving for k leads to k = y/x.

For each row in the table, divide the y value over the paired x value.

• Row1: k = y/x = 12/2 = 6
• Row2: k = y/x = 24/4 = 6
• Row3: k = y/x = 30/5 = 6
• Row4: k = y/x = 54/9 = 6

Each row leads to the same k value, so the constant of proportionality is 6.

The equation y = kx updates to y = 6x.

This line has slope 6 and y intercept 0.

All direct proportion equations go through the origin.