Proportional Relationships

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 quantity is constant.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the quantity by the number of units. For example, if you have 30 laps in 10 minutes, the unit rate is 30 laps ÷ 10 minutes = 3 laps per minute.

Front

What does it mean if two rates are equivalent?

Back

If two rates are equivalent, it means they represent the same relationship or speed, even if they are expressed in different units.

Front

How do you convert a scale model to actual size?

Back

To convert a scale model to actual size, multiply the dimensions of the model by the scale factor. For example, if the scale is 1 cm = 4 meters and the model is 76 cm tall, the actual height is 76 cm × 4 m/cm = 304 meters.

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

If the ratio of A to B is 4:5 and A = 28, how do you find B?

Back

To find B, set up the proportion 4/5 = 28/B. Cross-multiply to get 4B = 140, then divide by 4 to find B = 35.

Front

What is the total number of items if the ratio of items is 4 to 5 and there are 28 items of one type?

Back

If there are 28 items of one type (4 parts), the total number of items is 28 + (28/4) × 5 = 63.

Front

What is the formula for finding the missing value in a proportional relationship?

Back

The formula is a/b = c/d, where a and b are the first pair of quantities, and c and d are the second pair. You can cross-multiply to find the missing value.

Front

What is a unit rate in the context of speed?

Back

A unit rate in the context of speed is the distance traveled per unit of time, such as miles per hour.

Front

How do you determine if two speeds are the same?

Back

To determine if two speeds are the same, convert both speeds to the same unit and compare the values.