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 (k) is the constant value that relates two proportional quantities, often expressed as k = y/x.

Front

How do you find the constant of proportionality (k)?

Back

To find k, divide the dependent variable (y) by the independent variable (x): k = y/x.

Front

Write an equation to relate weight (w) to price (p) if k = 0.45.

Back

p = 0.45w.

Front

If 1/4 cup of water is needed for every 1/2 cup of flour, how much flour is needed for 1.5 cups of water?

Back

3 cups of flour.

Front

What does the point (2, 94) represent in a proportional relationship?

Back

After 2 weeks, they save $94.

Front

If Perry earned $96 for shoveling 8 driveways, how much would he earn for 6 driveways?

Back

$72.

Front

What is the formula for a proportional relationship?

Back

The formula is y = kx, where k is the constant of proportionality.

Front

If k = 22, what is the equation relating price (p) to weight (w)?

Back

p = 22w.

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.