7 Lesson 17: Unit Rate and Proportions Word Problems

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 you travel 60 miles in 2 hours, the unit rate is 30 miles per hour.

Front

How do you calculate the unit rate?

Back

To calculate the unit rate, divide the first quantity by the second quantity. For example, if there are 18 houses on 2 blocks, the unit rate is 18 ÷ 2 = 9 houses per block.

Front

What is the unit rate of 18 orders in 3 days?

Back

6 orders per day (18 ÷ 3 = 6).

Front

If it costs $46.80 to fill a 13-gallon gas tank, what is the price per gallon?

Back

$3.60 per gallon ($46.80 ÷ 13 = $3.60).

Front

How many customers can a cashier ring up in 30 minutes if he rings up 2 customers in 8 minutes?

Back

7.5 customers (30 minutes ÷ 8 minutes = 3.75, then 3.75 × 2 customers = 7.5 customers).

Front

What is the unit rate of $40 for 5 pounds of concrete?

Back

$8 per pound ($40 ÷ 5 = $8).

Front

Define proportion in mathematics.

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

What is the formula for finding a unit rate?

Back

Unit Rate = Total Quantity / Number of Units.

Front

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

Back

50 miles per hour (150 ÷ 3 = 50).

Front

What does it mean if a unit rate is greater than another?

Back

It means that the first quantity is more efficient or faster than the second quantity. For example, if one car travels at 60 miles per hour and another at 50 miles per hour, the first car is faster.