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

Define constant of proportionality.

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented in the equation y = kx.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if there are 624 calories in 3 servings, the unit rate is 624 ÷ 3 = 208 calories per serving.

Front

What is the unit rate of 480 miles in 6 hours?

Back

80 miles per hour.

Front

In the equation y = 5x, what is the constant of proportionality?

Back

5.

Front

If a recipe requires 3 cups of flour for 12 cookies, how much flour is needed for 1 cookie?

Back

0.25 cups of flour.

Front

What does it mean if two quantities are directly proportional?

Back

If two quantities are directly proportional, as one quantity increases, the other quantity increases at a constant rate.

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality (k) can be found using the formula k = y/x, where y is the dependent variable and x is the independent variable.

Front

If y = 3x, what is the value of y when x = 4?

Back

y = 12.

Front

What is the relationship between the slope of a line and the constant of proportionality?

Back

In a graph of a proportional relationship, the slope of the line represents the constant of proportionality.