Review Proportional Relationships Tables, Graphs & Equaitons

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 does the constant of proportionality represent?

Back

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

Front

How do you find the unit rate from a total cost and quantity?

Back

To find the unit rate, divide the total cost by the quantity. For example, if the cost is $3.75 for 3 pounds, the unit rate is $3.75 ÷ 3 = $1.25 per pound.

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 identify a proportional relationship from a table?

Back

A proportional relationship can be identified from a table if the ratios of corresponding values are constant.

Front

What does the x-axis typically represent in a graph of a proportional relationship?

Back

The x-axis typically represents the independent variable, which is often the quantity being measured, such as the amount of a product.

Front

What does the y-axis typically represent in a graph of a proportional relationship?

Back

The y-axis typically represents the dependent variable, which is often the total cost or another quantity that depends on the independent variable.

Front

If the constant of proportionality is 7, what is the equation of the proportional relationship?

Back

If the constant of proportionality is 7, the equation of the proportional relationship is y = 7x.

Front

What is the significance of the point (1, k) in a proportional relationship?

Back

The point (1, k) indicates that when the independent variable is 1, the dependent variable is equal to the constant of proportionality 'k'.

Front

How do you graph a proportional relationship?

Back

To graph a proportional relationship, plot points that represent the pairs of values and draw a straight line through the origin (0,0).