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 from a given quantity?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if there are 405 rotations in 5 minutes, the unit rate is 405 ÷ 5 = 81 rotations per minute.

Front

What does it mean for a graph to represent a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

If a sloth moves 30 feet in 2 minutes, how far will it move in 5 minutes?

Back

To find the distance, first find the unit rate: 30 feet ÷ 2 minutes = 15 feet per minute. Then, multiply by 5 minutes: 15 feet/minute × 5 minutes = 75 feet.

Front

What is the formula for calculating a unit rate?

Back

The formula for calculating a unit rate is: Unit Rate = Total Quantity / Number of Units.

Front

How can you determine if two ratios are proportional?

Back

Two ratios are proportional if their cross products are equal. For example, if a/b = c/d, then a*d = b*c.

Front

What is the unit rate for 60 miles in 1 hour?

Back

The unit rate is 60 miles per hour.

Front

If Perry earned $96 for 8 driveways, how much does he earn per driveway?

Back

To find the earnings per driveway, divide the total earnings by the number of driveways: $96 ÷ 8 driveways = $12 per driveway.

Front

What is the relationship between proportional relationships and direct variation?

Back

Proportional relationships are a type of direct variation where one quantity is a constant multiple of another.

Front

How do you graph a proportional relationship?

Back

To graph a proportional relationship, plot points that represent the quantities, ensuring they form a straight line through the origin.