How to Find Constant of Proportion

Name the constant of proportionality.

• 20

• 40

• 16

• 35

The graph shows the total number of markers in 1, 2, 3, and 4 boxes of markers. What is the constant of proportionality?

Mathematical Equivalence

ON

Answer explanation

The constant of proportionality is found at the ordered pair (1, k), or (1, 8) so the constant is 8.

However, you can take any point along the line, except (0, 0) and divide the y-coordinate by the x-coordinate to get the constant of proportionality.

What is the constant of proportionality that relates y to x?

Mathematical Equivalence

ON

Is the given table a direct variation? If so, what is the constant?

• Yes; 1/3

• Yes; 3

• Yes; 5

• No

• A
• B
• C
• D

In the equation y = 14x, what is the constant of proportionality?

• y

• x

• 14

Name the constant of proportionality.

• 20

• 40

• 16

• 35

If x and y are in an inverse variation then which of the following is correct?

• x - y = constant

• x + y = constant

• xy = constant 

• x⁄y is constant 

Y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?

• y=1344x

• y=100x

• y=5.25x

• y=4/21x

Does the table represent a proportional relationship?

• Yes.

• No.