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

Define 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

If the ratio of folders to journals is 4 to 5 and there are 28 folders, how do you find the total number of materials?

Back

First, find the total parts in the ratio (4 + 5 = 9). Then, find the value of one part (28 folders / 4 parts = 7). Finally, multiply the value of one part by the total parts (9 parts * 7 = 63 materials).

Front

What is the unit rate if a table shows 100 miles in 5 hours?

Back

The unit rate is 20 miles per hour (100 miles / 5 hours).

Front

How do you calculate the unit price of an item?

Back

To calculate the unit price, divide the total cost by the number of units (e.g., $3.75 for 3 pounds of granola = $1.25 per pound).

Front

What does it mean if two rates are equivalent?

Back

Two rates are equivalent if they represent the same relationship between two quantities, meaning they have the same unit rate.

Front

If Samantha drives at 30 miles per hour and Tracy drives 60 miles in 2 hours, how do you compare their speeds?

Back

Convert Tracy's speed to miles per hour: 60 miles / 2 hours = 30 miles per hour. Both drive at the same speed.

Front

What is the formula for finding the total amount in a proportional relationship?

Back

Total Amount = (Value of One Part) x (Total Parts in the Ratio).

Front

How do you find the missing value in a proportional table?

Back

Use the known values to set up a proportion and solve for the missing value.

Front

What is the significance of the constant ratio in proportional relationships?

Back

The constant ratio indicates that as one quantity increases or decreases, the other quantity does so in a consistent manner.