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, expressed as y = kx.

Front

Which of the following represents a constant of proportionality?

Back

A constant of proportionality is a fixed ratio between two variables, such as 3 in the equation y = 3x.

Front

How do you find the constant of proportionality from a table of values?

Back

To find the constant of proportionality, divide the value of y by the corresponding value of x for any pair of values in the table.

Front

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

Back

The constant of proportionality is 5.

Front

What is the unit rate of 240 miles in 3 hours?

Back

The unit rate is 80 miles per hour.

Front

If the constant of proportionality is 0.25, what is the equation?

Back

The equation is y = 0.25x.

Front

What does a constant of proportionality of 1 indicate?

Back

A constant of proportionality of 1 indicates that y is equal to x; they increase at the same rate.

Front

How can you express a constant of proportionality in a graph?

Back

In a graph, the constant of proportionality is the slope of the line that passes through the origin.

Front

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

Back

The constant of proportionality is 2/3.

Front

What is the constant of proportionality if y = 12 when x = 4?

Back

The constant of proportionality is 3, since 12/4 = 3.