Flashcardizz Quest Review: Ratios & Proportional Relationships

Front

What is a ratio?

Back

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

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 find the constant of proportionality from a graph?

Back

The constant of proportionality can be found by determining the slope of the line on the graph, which represents the ratio of the change in the y-value to the change in the x-value.

Front

What does the unit rate represent?

Back

The unit rate represents the amount of one quantity per one unit of another quantity, often expressed as 'x per 1'.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the two ratios and then solve for the unknown variable.

Front

What is the formula for setting up a proportion?

Back

Front

What is the meaning of the ordered pair (1, 3) in a proportional relationship?

Back

The ordered pair (1, 3) indicates that for every 1 unit of the first quantity, there are 3 units of the second quantity.

Front

How can you determine if a set of data is proportional?

Back

A set of data is proportional if the ratios of corresponding values are equivalent, meaning they simplify to the same constant.

Front

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

Back

The point (0, 0) represents the origin, indicating that when there is zero of one quantity, there is also zero of the other quantity.

Front

What does it mean to scale a ratio?

Back

Scaling a ratio means multiplying both terms of the ratio by the same non-zero number to create an equivalent ratio.