Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant ratio or unit rate that describes how two quantities are related to each other.

Front

How do you determine if two ratios are proportional?

Back

Two ratios are proportional if they can be simplified to the same fraction or if their cross products are equal.

Front

What is the formula to find 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

If y = 1.5x, what is the constant of proportionality?

Back

The constant of proportionality is 1.5.

Front

What does a constant of proportionality of 2 mean in a real-world context?

Back

It means that for every unit increase in x, y increases by 2 units.

Front

Identify the constant of proportionality in the equation y = 3x.

Back

The constant of proportionality is 3.

Front

If the ratio of x to y is 1:4, what is the constant of proportionality?

Back

The constant of proportionality is 4.

Front

What is the constant of proportionality for the table where x = 5 and y = 15?

Back

The constant of proportionality is 3 (15/5 = 3).

Front

If a car travels 90 miles in 2 hours, what is the constant of proportionality in miles per hour?

Back

The constant of proportionality is 45 mph.

Front

What is the constant of proportionality for the table where x = 8 and y = 64?

Back

The constant of proportionality is 8 (64/8 = 8).