Comparing 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

How do you identify a proportional relationship from a graph?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What does the equation y = kx represent in a proportional relationship?

Back

In the equation y = kx, 'k' is the constant of proportionality, which represents the ratio of y to x.

Front

If Lucy uses fewer gallons of gas per mile than Troy, what can we conclude about their gas consumption?

Back

Lucy has a lower constant of proportionality for gas consumption compared to Troy.

Front

How can you compare the spending of two people if they spend the same amount each day?

Back

If both people spend the same amount each day, their total spending over time will be proportional and equal.

Front

What does the slope of a line in a graph of a proportional relationship represent?

Back

The slope represents the constant of proportionality, indicating how much one quantity changes in relation to another.

Front

In the equation y = 40x, what does the number 40 represent?

Back

The number 40 represents the weight in pounds per bag of luggage.

Front

How do you determine which of two proportional relationships is greater?

Back

Compare the constants of proportionality (slopes) of the two relationships; the one with the larger constant is greater.

Front

What is the significance of the point (0,0) in a proportional relationship graph?

Back

The point (0,0) indicates that when there are zero units of one quantity, the other quantity is also zero, confirming the relationship is proportional.

Front

If Soundtech produces headphones at a faster rate than NewSounds, what can we infer about their production equations?

Back

Soundtech's equation will have a higher constant of proportionality than NewSounds' equation.