Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often expressed as y = kx.

Front

Identify the constant of proportionality in the equation y = 3x.

Back

k = 3

Front

What does it mean if two quantities are proportional?

Back

Two quantities are proportional if they maintain a constant ratio to each other.

Front

Which of the following equations is proportional? y = 4x or y = 4x + 2?

Back

y = 4x is proportional; y = 4x + 2 is not.

Front

If y = kx, what happens to y if k is doubled?

Back

If k is doubled, y will also double for the same value of x.

Front

What is the constant of proportionality in the equation y = 8x?

Back

k = 8

Front

How can you determine if a table of values represents a proportional relationship?

Back

If the ratio of y to x is constant for all pairs of values, then it represents a proportional relationship.

Front

What is the constant of proportionality if y = 2x and x = 5?

Back

y = 10, so k = 2.

Front

Identify the constant of proportionality in the equation y = 1/2x.

Back

k = 1/2

Front

What is the constant of proportionality in the equation y = 150x?

Back

k = 150