Constant of Proportionality Review

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two quantities that are directly proportional to each other.

Front

If Ernie travels 195 miles in 3 hours, what is his speed?

Back

65 miles per hour (195 miles ÷ 3 hours = 65 miles/hour).

Front

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

Back

Divide the dependent variable by the independent variable for any pair of values.

Front

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

Back

5 (the constant of proportionality is the coefficient of x).

Front

If a graph shows a straight line through the origin, what does that indicate?

Back

It indicates a constant of proportionality exists between the two variables.

Front

What is the formula to calculate the constant of proportionality?

Back

k = y/x, where k is the constant of proportionality, y is the dependent variable, and x is the independent variable.

Front

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

Back

k represents the constant of proportionality.

Front

If the constant of proportionality is 9, what does that mean in a real-world context?

Back

For every unit increase in x, y increases by 9 units.

Front

What is the constant of proportionality for the equation y = 2x?

Back

2.

Front

If a car travels 80 miles in 1 hour, what is the constant of proportionality?

Back

80 miles per hour.