Proportional Relationships with Tables/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 is constant.

Front

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

Back

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

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

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

Back

The constant of proportionality is 3.

Front

What does it mean for two figures to be scale drawings?

Back

Two figures are scale drawings if they have the same shape but different sizes, with corresponding lengths in a constant ratio.

Front

How do you find the scale factor between two similar figures?

Back

The scale factor is found by dividing the length of a side of one figure by the corresponding side of the other figure.

Front

What is the equation of a proportional relationship if the cost of yoga classes is $15 per class?

Back

The equation is y = 15x, where y is the total cost and x is the number of classes.

Front

If a table shows the values (1, 2), (2, 4), (3, 6), is it proportional?

Back

Yes, it is proportional because the ratio of y to x is always 2.

Front

What is the scale factor from a triangle with sides 4, 6, 8 to a triangle with sides 8, 12, 16?

Back

The scale factor is 2.

Front

If a table is not proportional, what can you say about the ratios of the values?

Back

The ratios of the values will not be constant.