8th - Unit 3 Lesson 2 : Graphs of 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 ratio in a proportional relationship, often represented as 'k' in the equation y = kx.

Front

How do you find the unit rate from a proportional relationship?

Back

The unit rate is found by dividing the quantity of one variable by the quantity of the other variable when the second variable is equal to one.

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).

Front

If y = 4x, what is the constant of proportionality?

Back

The constant of proportionality is 4.

Front

What is the unit rate of 60 miles in 1 hour?

Back

The unit rate is 60 miles per hour.

Front

How can you determine if a relationship is proportional from a table of values?

Back

A relationship is proportional if the ratios of corresponding values are constant.

Front

What is the significance of the slope in a graph of a proportional relationship?

Back

The slope of the line represents the constant of proportionality.

Front

If the unit rate is 5 feet per second, how many feet will be traveled in 10 seconds?

Back

50 feet (5 feet/second * 10 seconds = 50 feet).

Front

What is the unit rate of rain falling at 2 cm per hour?

Back

The unit rate is 2 cm per hour.