Flashcard 5.3-5.4 Review Is It Proportional?

Front

What does it mean for a relationship to be proportional?

Back

A proportional relationship means that two quantities maintain a constant ratio or rate. If one quantity increases, the other increases at the same rate.

Front

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

Back

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

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

If the ratio of x to y is 2:3, what is the equivalent ratio if both values are multiplied by 4?

Back

The equivalent ratio is 8:12.

Front

What is the formula to check if two ratios form a proportion?

Back

Front

What does it mean if a table is non-proportional?

Back

A non-proportional table means that the ratios of the values do not remain constant.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship on a graph is represented by a straight line that passes through the origin (0,0).

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as k in the equation y = kx.

Front

If the table shows the values (2, 3), (4, 6), (6, 9), is it proportional?

Back

Yes, it is proportional because the ratio of y to x is constant (1.5).