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.

Tags

CCSS.7.RP.A.2A

Front

How do you find the unit rate from a given total cost and quantity?

Back

To find the unit rate, divide the total cost by the quantity. For example, if the total cost is $3.75 for 3 pounds, the unit rate is $3.75 ÷ 3 = $1.25 per pound.

Front

What is the unit rate if a car travels 150 miles in 3 hours?

Back

The unit rate is 150 miles ÷ 3 hours = 50 miles per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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.

Tags

CCSS.7.RP.A.2A

Front

What is the formula for finding the unit rate in a given scenario?

Back

The formula for finding the unit rate is: Unit Rate = Total Quantity / Total Cost or Total Time.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a recipe requires 4 cups of flour for 2 cups of sugar, what is the unit rate of flour per cup of sugar?

Back

The unit rate of flour per cup of sugar is 4 cups of flour ÷ 2 cups of sugar = 2 cups of flour per cup of sugar.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the significance of unit rates in real-life applications?

Back

Unit rates help compare different quantities and make informed decisions, such as determining the best price for products or understanding speed.

Tags

CCSS.6.RP.A.3B

Front

How do you convert a ratio to a percentage?

Back

To convert a ratio to a percentage, divide the first number by the second number and multiply by 100. For example, for the ratio 3:4, (3 ÷ 4) × 100 = 75%.

Front

What is the unit rate if a person runs 30 laps in 10 minutes?

Back

The unit rate is 30 laps ÷ 10 minutes = 3 laps per minute.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you predict values in proportional relationships?

Back

To predict values in proportional relationships, set up a proportion based on known values and solve for the unknown.

Tags

CCSS.7.RP.A.2C