Unit 2 Lessons 8-9 Unit Rate and Constant Speed

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 buy 12 eggs for $3, the unit rate is $0.25 per egg.

Front

How do you calculate the unit price of an item?

Back

To calculate the unit price, divide the total cost by the number of items. For example, if 12 eggs cost $3, the unit price is $3 ÷ 12 = $0.25 per egg.

Front

What is constant speed?

Back

Constant speed means traveling the same distance in each unit of time. For example, if a car travels 70 miles in one hour, it is moving at a constant speed of 70 mph.

Front

How do you find the distance traveled at a constant speed?

Back

To find the distance traveled at a constant speed, multiply the speed by the time traveled. For example, if a team travels at 70 mph for 2 hours, the distance is 70 mph × 2 hours = 140 miles.

Front

What is the formula for calculating speed?

Back

The formula for calculating speed is Speed = Distance ÷ Time.

Front

If a cargo ship travels 150 nautical miles in 6 hours, how do you find its speed?

Back

To find the speed, divide the distance by the time: Speed = 150 nautical miles ÷ 6 hours = 25 nautical miles per hour.

Front

What is a ratio?

Back

A ratio is a relationship between two numbers that shows how many times the first number contains the second. For example, the ratio of 10 to 45 can be written as 10:45.

Front

How do you complete a ratio table?

Back

To complete a ratio table, find equivalent ratios by multiplying or dividing both terms of the ratio by the same number.

Front

What is the unit price of 4 rolls of toilet paper for $2?

Back

The unit price is $2 ÷ 4 rolls = $0.50 per roll.

Front

How do you convert a ratio to a unit rate?

Back

To convert a ratio to a unit rate, divide the first number by the second number to express it as a quantity of one.