Unit Rates & Equivalent Ratios

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 'per' something, such as miles per hour or dollars per item.

Front

How do you find a unit rate?

Back

To find a unit rate, divide the quantity by the number of units. For example, if you have 60 miles in 2 hours, the unit rate is 60 miles ÷ 2 hours = 30 miles per hour.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they can be simplified to the same fraction.

Front

How can you determine if two ratios are equivalent?

Back

You can determine if two ratios are equivalent by cross-multiplying. If the cross-products are equal, the ratios are equivalent.

Front

What is the ratio of 7 girls to 2 boys in simplest form?

Back

The simplest form of the ratio 7 girls to 2 boys is 7:2.

Front

If Jack spends $500 every 2 months, how much does he spend in 1 month?

Back

Jack spends $250 in 1 month, calculated by dividing $500 by 2.

Front

What is the unit rate of $3.75 for 3 pounds of granola?

Back

The unit rate is $1.25 per pound, calculated by dividing $3.75 by 3.

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If a store sees 120 customers in 8 hours, what is the unit rate in customers per hour?

Back

The unit rate is 15 customers per hour, calculated by dividing 120 by 8.

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Front

What is the equivalent ratio of 3:4 if both terms are multiplied by 10?

Back

The equivalent ratio is 30:40.