Constant of Proportionality (Graph)

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often 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 two points (x1, y1) and (x2, y2) on the line, then calculate k = y/x for any point.

Front

If y = 40 when x = 1, what is the constant of proportionality?

Back

The constant of proportionality is 40.

Front

If y = 80 when x = 2, what is the constant of proportionality?

Back

The constant of proportionality is 40, since k = 80/2 = 40.

Front

What is the formula for the constant of proportionality?

Back

The formula is k = y/x, where y is the dependent variable and x is the independent variable.

Front

What does a constant of proportionality of 1 mean?

Back

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

Front

If the constant of proportionality is 6, what is y when x = 3?

Back

y = kx = 6 * 3 = 18.

Front

What is the relationship between the constant of proportionality and direct variation?

Back

In direct variation, the constant of proportionality (k) is the factor that relates the two variables, indicating that as one increases, the other does as well.

Front

If the constant of proportionality is 4, what is the value of y when x = 5?

Back

y = kx = 4 * 5 = 20.

Front

What is the constant of proportionality if y = 120 when x = 2?

Back

k = y/x = 120/2 = 60.