Proportional Equations, Tables & Graphs

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 does the constant of proportionality represent?

Back

The constant of proportionality represents the ratio between two proportional quantities, indicating how much one quantity changes in relation to another.

Front

How can you determine the unit rate from a proportional relationship?

Back

The unit rate can be determined by dividing the total amount by the number of units, giving the amount per one unit.

Front

What is the significance of the point (x, y) on a graph of a proportional relationship?

Back

The point (x, y) on a graph represents the values of the two quantities in the proportional relationship, indicating how much y corresponds to x.

Front

How do you reduce a ratio to find an equation?

Back

To reduce a ratio, divide both terms of the ratio by their greatest common factor to express it in simplest form.

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 can you use a table to find the constant of proportionality?

Back

To find the constant of proportionality from a table, divide the values of one quantity by the corresponding values of the other quantity.

Front

What is the formula to calculate the cost per pound if given total cost and weight?

Back

The formula to calculate the cost per pound is: Cost per pound = Total cost / Weight in pounds.

Front

How can you interpret the slope of a line in a graph representing a proportional relationship?

Back

The slope of the line represents the constant of proportionality, indicating how much y changes for each unit increase in x.