Ratios and 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 determine if a table represents a proportional relationship?

Back

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

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity of one.

Front

How do you calculate the unit rate from a given quantity?

Back

To calculate the unit rate, divide the total quantity by the number of units.

Front

If you travel 150 miles on 5 gallons of gas, what is the unit rate of miles per gallon?

Back

30 miles per gallon.

Front

What does a scale factor greater than one indicate about a figure?

Back

A scale factor greater than one indicates that the new figure is an enlargement of the original figure.

Front

How do you find the actual distance using a map scale?

Back

To find the actual distance, multiply the distance on the map by the scale factor.

Front

If the scale on a map is 2 inches = 40 miles, what is the actual distance for 4.125 inches?

Back

82.5 miles.

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.