Unit 4 Unit Rate and Proportions

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you find a unit rate from a ratio?

Back

To find a unit rate from a ratio, divide the first quantity by the second quantity to express it as a quantity of one. For example, if the ratio is 10:2, the unit rate is 10 ÷ 2 = 5.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Front

How can you determine if two ratios are equivalent?

Back

Two ratios are equivalent if their cross products are equal. For example, for the ratios 4:5 and 8:10, check if 4*10 = 5*8, which is true.

Front

What is the formula for finding the unit rate?

Back

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

Front

If a recipe requires 3 cups of flour for 4 servings, how much flour is needed for 1 serving?

Back

To find the amount of flour for 1 serving, divide 3 cups by 4 servings: 3/4 = 0.75 cups.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions. For example, the ratio 3:4 can be written as the fraction 3/4.

Front

How do you simplify a complex fraction?

Back

To simplify a complex fraction, multiply the numerator and the denominator by the least common denominator (LCD) of the fractions involved.

Front

What is the cross-multiplication method?

Back

The cross-multiplication method is used to solve proportions by multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If a car travels 150 miles in 3 hours, what is the speed in miles per hour?

Back

To find the speed, divide the distance by the time: 150 miles ÷ 3 hours = 50 miles per hour.