Proportions and Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

Which graph represents a proportional relationship?

Back

A graph that passes through the origin (0,0) and has a straight line indicates a proportional relationship.

Front

If you travel 150 miles on 5 gallons, how far do you travel per gallon?

Back

30 miles per gallon.

Front

What is the formula to find the constant of proportionality?

Back

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

Front

If the constant of proportionality is 8, what is the relationship between x and y?

Back

y = 8x.

Front

What does a non-proportional graph look like?

Back

A non-proportional graph does not pass through the origin and may have curves or lines that do not maintain a constant ratio.

Front

If you have a constant of proportionality of 40, what is the value of y when x is 2?

Back

y = 40 * 2 = 80.

Front

How do you determine if two ratios are proportional?

Back

Two ratios are proportional if their cross products are equal.

Front

What is an example of a proportional relationship in real life?

Back

The relationship between distance and time when traveling at a constant speed.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the constant of proportionality?

Back

The constant of proportionality is 2/3.