Constant of Proportionality Review

Front

What is the constant of proportionality?

Back

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

Front

How do you find the constant of proportionality from a graph?

Back

To find the constant of proportionality from a graph, identify the ratio of the y-coordinate to the x-coordinate for any point on the line. This ratio is constant for all points.

Front

What does it mean if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratio of the values in one column to the values in another column is constant.

Front

If y = 5x, what is the constant of proportionality?

Back

5

Front

In the equation y = kx, what does k represent?

Back

k represents the constant of proportionality.

Front

How can you determine if a set of values is proportional?

Back

You can determine if a set of values is proportional by checking if the ratios of corresponding values are equal.

Front

What is the constant of proportionality for the points (2, 6) and (4, 12)?

Back

3 (since 6/2 = 12/4 = 3).

Front

If a recipe requires 2 cups of flour for every 3 cups of sugar, what is the constant of proportionality?

Back

2/3 or 0.67.

Front

What is the constant of proportionality in the equation y = 10x?

Back

10

Front

If a car travels 150 miles in 3 hours, what is the constant of proportionality for speed?

Back

50 miles per hour.