Proportional Relationships in tables, graphs, equations

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 unit rate?

Back

The unit rate is the ratio of two measurements in which the second measurement is 1. It represents the amount of one quantity per one unit of another quantity.

Front

How can you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of the corresponding values are constant and if it passes through the origin (0,0).

Front

What does it mean if a table is not proportional?

Back

If a table is not proportional, it means that the ratios of the corresponding values are not constant, or it does not pass through the origin.

Front

How do you find the cost per gallon of gas from a table?

Back

To find the cost per gallon of gas, divide the total cost by the number of gallons purchased.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed 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 in the equation y = kx.

Front

If a table shows the following pairs: (2, 8), (4, 16), (6, 24), is it proportional?

Back

Yes, it is proportional because the ratio of y to x is constant (4 in this case).

Front

What is the significance of the origin in proportional relationships?

Back

The significance of the origin (0,0) in proportional relationships is that it indicates that when one quantity is zero, the other quantity is also zero.

Front

How can you represent a proportional relationship on a graph?

Back

A proportional relationship can be represented on a graph as a straight line that passes through the origin.