Proportional Relationships Using Tables, Graphs, and 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

How do you find the unit rate from a ratio?

Back

To find the unit rate, divide the first quantity by the second quantity. For example, if there are 405 rotations in 5 minutes, the unit rate is 405 ÷ 5 = 81 rotations per minute.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as 'k' in the equation y = kx.

Front

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

Back

A table represents a proportional relationship if the ratios of corresponding values are constant.

Front

Which equation does NOT represent a proportional relationship?

Back

The equation y = 5x - 7 does not represent a proportional relationship because it includes a constant term (-7) that does not allow for a constant ratio.

Front

What is the reciprocal of a number?

Back

The reciprocal of a number is 1 divided by that number. For example, the reciprocal of 7 is 1/7.

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

What is the formula for finding the constant of proportionality using a table?

Back

The constant of proportionality can be found by dividing the output value by the input value for any pair of corresponding values in the table.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

What is the unit rate of 150 miles in 3 hours?

Back

The unit rate is 150 ÷ 3 = 50 miles per hour.