Unit Rates

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 (e.g., miles per hour, cost per item).

Front

How do you find the unit rate from a total cost and quantity?

Back

To find the unit rate, divide the total cost by the quantity. For example, if 15 pizzas cost $97.50, the unit rate is $97.50 ÷ 15 = $6.50 per pizza.

Front

What is a ratio?

Back

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

Front

If a truck travels 55 miles in 1 hour, how far will it travel in 5 hours?

Back

275 miles (55 miles/hour × 5 hours = 275 miles).

Front

Jaylen drives 130 miles in 2 hours. What is his speed in miles per hour?

Back

65 miles per hour (130 miles ÷ 2 hours = 65 miles/hour).

Front

If a car travels at a speed of 60 miles per hour, how far will it travel in 3 hours?

Back

180 miles (60 miles/hour × 3 hours = 180 miles).

Front

What is the unit rate of 240 miles in 4 hours?

Back

60 miles per hour (240 miles ÷ 4 hours = 60 miles/hour).

Front

How do you determine if you can complete a trip on time based on your speed and distance?

Back

Calculate the time needed to travel the distance at your speed. If the time needed is less than or equal to the time available, you will arrive on time.

Front

If a recipe requires 3 cups of flour for 12 cookies, what is the unit rate of flour per cookie?

Back

0.25 cups of flour per cookie (3 cups ÷ 12 cookies = 0.25 cups/cookie).

Front

What is the relationship between unit rates and proportions?

Back

Unit rates can be used to set up proportions, allowing you to compare different ratios and solve for unknowns.