CC2 - Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

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 unit rate in a proportional relationship?

Back

To find the unit rate, divide the total amount of one quantity by the total amount of the other quantity.

Front

What does the equation y = kx represent?

Back

The equation y = kx represents a linear relationship where y is directly proportional to x, with k being the constant of proportionality.

Front

If a recipe calls for 2 cups of flour for 4 servings, how much flour is needed for 10 servings?

Back

5 cups of flour (using the unit rate of 0.5 cups per serving).

Front

What is the scale factor in a model?

Back

The scale factor is the ratio of a length in the model to the corresponding length in the actual object.

Front

If a car travels 60 miles in 1 hour, what is the constant of proportionality for speed?

Back

The constant of proportionality for speed is 60 miles per hour.

Front

How do you determine if two ratios are proportional?

Back

Two ratios are proportional if they can be simplified to the same fraction.

Front

What is the unit rate of 24 miles in 3 hours?

Back

The unit rate is 8 miles per hour.

Front

If 5 pounds of apples cost $10, what is the cost per pound?

Back

The cost per pound is $2.