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 in the equation y = kx.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship is represented by a straight line that passes through the origin (0,0) on a graph.

Front

What does the equation y = kx represent?

Back

The equation y = kx represents a proportional relationship where y is directly proportional to x, and k is the constant of proportionality.

Front

If the constant of proportionality is 1/2, what is the relationship between y and x?

Back

If k = 1/2, then for every unit increase in x, y increases by half that amount.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second measurement is 1 unit.

Front

How do you calculate the unit rate from a total cost and quantity?

Back

To calculate the unit rate, divide the total cost by the quantity.

Front

If a table shows values of x and y, how can you determine if the relationship is proportional?

Back

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

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the cost of apples per pound; if 1 pound costs $2, then 2 pounds cost $4.

Front

What does it mean if a relationship is non-proportional?

Back

A non-proportional relationship does not have a constant ratio between the two quantities.

Front

How can you find the missing value in a proportional table?

Back

To find the missing value, set up a proportion using the known values and solve for the unknown.