Ratios and Proportional Reasoning Ch.1

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they have a constant ratio.

Front

What is the relationship called when two variable quantities have a constant ratio?

Back

The relationship is called direct variation.

Front

How do you determine the constant rate of change from a table of values?

Back

The constant rate of change is found by calculating the ratio of the change in the dependent variable to the change in the independent variable.

Front

What is a complex fraction?

Back

A complex fraction is a fraction that has a fraction in the numerator, denominator, or both.

Front

If Kelly can bike 12 miles in 1/2 hour, how do you calculate her speed in miles per hour?

Back

To calculate her speed, divide the distance by the time: 12 miles / 0.5 hours = 24 miles per hour.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division.

Front

What is the formula for direct variation?

Back

The formula for direct variation is y = kx, where k is the constant of variation.

Front

How can you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms of the ratio by their greatest common divisor.

Front

What is the difference between a ratio and a proportion?

Back

A ratio compares two quantities, while a proportion states that two ratios are equal.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities.