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 total quantity by the number of units. For example, if you read 280 pages in 4 hours, the unit rate is 280 ÷ 4 = 70 pages per hour.

Front

If 1 tray of tater tots serves 20 kids, how many trays are needed for 180 kids?

Back

9 trays are needed, calculated by dividing 180 by 20.

Front

What is the formula for calculating total quantity in a proportional relationship?

Back

Total Quantity = Unit Rate × Number of Units.

Front

If Samantha earned $90 for 6 hours of work, how do you calculate her hourly wage?

Back

Divide total earnings by total hours: $90 ÷ 6 = $15 per hour.

Front

How many hot dogs are sold in 30 minutes if 16 hot dogs are sold each minute?

Back

480 hot dogs are sold, calculated by multiplying 16 hot dogs/minute by 30 minutes.

Front

What is the relationship between the number of brownies Toby brings and the number of weeks?

Back

The relationship is proportional; if Toby brings 3 brownies each week, in 5 weeks he brings 3 × 5 = 15 brownies.

Front

Define 'unit rate' in the context of proportional relationships.

Back

Unit rate is the ratio of two measurements in which the second quantity is 1. For example, if you earn $15 for 1 hour of work, the unit rate is $15/hour.

Front

What does it mean if two quantities are directly proportional?

Back

It means that as one quantity increases, the other quantity increases at a constant rate.

Front

How can you represent a proportional relationship on a graph?

Back

A proportional relationship can be represented by a straight line that passes through the origin (0,0).