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 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.

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 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.

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.

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.

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.

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.