7S: Ratios, Rates, and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity by the number of units. For example, if you travel 150 miles on 5 gallons, the unit rate is 150 miles ÷ 5 gallons = 30 miles per gallon.

Front

What is the ratio of girls to boys if there are 5 boys and 7 girls?

Back

The ratio of girls to boys is 7 to 5.

Front

How do you determine which is the better buy between two products?

Back

To determine the better buy, calculate the price per unit for each product and compare them. The product with the lower price per unit is the better buy.

Front

If Antonia can type 408 words in 4 minutes, how many words can she type per minute?

Back

Antonia can type 102 words per minute (408 words ÷ 4 minutes = 102 words per minute).

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or price per item.

Front

What is the difference between a ratio and a proportion?

Back

A ratio compares two quantities, while a proportion states that two ratios are equal.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor.

Front

What is the unit rate of 120 customers in 6 hours?

Back

The unit rate is 20 customers per hour (120 customers ÷ 6 hours = 20 customers per hour).

Front

If a 12-pack of soda costs $3.50, what is the cost per can?

Back

The cost per can is approximately $0.29 (3.50 ÷ 12 = 0.2917).