Proportional Relationships Unit 3 E

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

How do you write an equation for a proportional relationship?

Back

An equation for a proportional relationship can be written in the form y = kx, where k is the constant of proportionality.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities.

Front

If y = 3x, what is the unit rate?

Back

The unit rate is 3, meaning for every 1 unit of x, y increases by 3.

Front

How do you find the cost per pound of an item?

Back

To find the cost per pound, divide the total cost by the weight in pounds.

Front

What is the unit rate for $3.75 for 3 pounds of granola?

Back

The unit rate is $1.25 per pound.

Front

If a 20-lb bag of dog food costs $23.44, what is the cost per pound?

Back

The cost per pound is $1.17 (calculated as $23.44 ÷ 20).

Front

What does a graph of a proportional relationship look like?

Back

A graph of a proportional relationship is a straight line that passes through the origin (0,0).

Front

How do you determine which option has the lowest cost per unit?

Back

Calculate the cost per unit for each option and compare the values.

Front

What is the equation for a table where y = 3x?

Back

The equation represents a proportional relationship where for every 1 unit increase in x, y increases by 3.