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

If Jacob mixed 8 cups of flour with 2 cups of water, what is the ratio of flour to water?

Back

The ratio of flour to water is 8:2, which simplifies to 4:1.

Front

How do you find the constant of proportionality from a table of values?

Back

To find the constant of proportionality, divide the dependent variable by the independent variable for any pair of values.

Front

What equation represents the relationship between cost and weight if the cost of potato salad is $3.5 per pound?

Back

The equation is c = 3.5p, where c is the cost and p is the weight in pounds.

Front

Which equation does NOT represent a proportional relationship?

Back

y = 5x - 7 does NOT represent a proportional relationship because it includes a constant term.

Front

If Sherry buys 4 pounds of oranges for $18, what is the cost per pound?

Back

The cost per pound is $4.5, calculated as 18/4.

Front

What is the formula for a proportional relationship?

Back

The formula for a proportional relationship is y = kx, where k is the constant of proportionality.

Front

How can you determine if two quantities are proportional?

Back

Two quantities are proportional if their ratios are equal when comparing different pairs of values.

Front

What does the graph of a proportional relationship look like?

Back

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