Ratios and Proportions Review

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

Define constant of proportionality.

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, expressed as y = kx.

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they maintain a constant ratio to each other.

Front

If y = 10x, what is the constant of proportionality?

Back

The constant of proportionality is 10.

Front

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

Back

A table represents a proportional relationship if the ratio of the values in one column to the corresponding values in another column is constant.

Front

What is the proportional equation for a constant of proportionality of 3?

Back

The proportional equation is y = 3x.

Front

If the constant of proportionality is 5, what is the value of y when x = 4?

Back

y = 5 * 4 = 20.

Front

What is the formula to find the constant of proportionality from a proportional relationship?

Back

The formula is k = y/x, where k is the constant of proportionality.

Front

Identify the constant of proportionality in the equation y = 8x.

Back

The constant of proportionality is 8.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal.