Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the number that relates two proportional quantities, indicating how much one quantity changes in relation to another.

Front

In a proportional relationship, what happens to one quantity when the other is multiplied by the same number?

Back

When one quantity is multiplied by the same number, the other quantity is also multiplied by that same number, maintaining the ratio between them.

Front

What does a constant of proportionality of $9 per hour mean?

Back

It means that for every hour, the quantity increases by $9.

Front

Which of the following represents a proportional relationship: a table where the ratio of x to y is constant?

Back

A proportional relationship is represented by a table where the ratio of x to y remains the same for all pairs of values.

Front

If a table shows values of (1, 2), (2, 4), (3, 6), what is the constant of proportionality?

Back

The constant of proportionality is 2, as each y value is 2 times the corresponding x value.

Front

How can you identify a proportional relationship from a graph?

Back

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

Front

What is the constant of proportionality for the equation y = 5x?

Back

The constant of proportionality is 5.

Front

If the constant of proportionality is 0.20, what does this imply about the relationship between the two quantities?

Back

It implies that for every unit increase in one quantity, the other quantity increases by $0.20.

Front

What is the formula to find the constant of proportionality?

Back

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

Front

If a car travels at a constant speed of 45 mph, what is the constant of proportionality in terms of distance over time?

Back

The constant of proportionality is 45, meaning for every hour, the car travels 45 miles.