Ratio/Unit Rates/Equivalent Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'x per 1 unit'.

Front

How do you find the unit rate from a total distance and time?

Back

To find the unit rate, divide the total distance by the total time. For example, if a car travels 440 miles in 8 hours, the unit rate is 440 miles ÷ 8 hours = 55 miles per hour.

Front

What is an equivalent ratio?

Back

Equivalent ratios are two or more ratios that express the same relationship between numbers, such as 1:2 and 2:4.

Front

How do you determine if two ratios are equivalent?

Back

Two ratios are equivalent if their cross products are equal. For example, for the ratios a:b and c:d, if a*d = b*c, then the ratios are equivalent.

Front

What is the unit price?

Back

The unit price is the cost per single unit of measure, which helps compare prices of different quantities.

Front

How do you calculate the unit price?

Back

To calculate the unit price, divide the total price by the total quantity. For example, if 8 oz of sour cream costs $1.68, the unit price is $1.68 ÷ 8 oz = $0.21 per oz.

Front

If Ms. Scott paid $3 for 6 muffins, what is the cost per muffin?

Back

The cost per muffin is $3 ÷ 6 muffins = $0.50 per muffin.

Front

If Mr. Keys made $90 in 5 hours, what is his hourly rate?

Back

His hourly rate is $90 ÷ 5 hours = $18 per hour.

Front

What is the formula to find the unit rate of snowfall?

Back

To find the unit rate of snowfall, divide the total inches of snow by the total hours. For example, 14 inches in 5 hours gives a unit rate of 14 ÷ 5 = 2.8 inches per hour.