Rates and Unit Rates Exit Ticket

A rate is a special kind of ratio that compares quantities, or amounts, with different units. This means the two quantities in a rate measure different things. One of the quantities often measures something like time, distance or money. A rate shows how much of something is happening per unit of another thing. For example, one rate you see very often is miles per hour. That rate tells you how many miles you’re going for every hour you travel. If you’re driving 35 miles per hour, you travel 35 miles every hour.

Which of the following can be written as a rate?

• A cake recipe needs 3 cups of flour and 2 cups of sugar.

• There are 25 girls and 24 boys in the eighth grade.

• Out of 25 dogs, 4 are Great Danes.

• 25 gallons of gas cost 50 dollars.

A word we often use when we talk about rates is “per.” Per means “for each” or “for every.” So when you see a phrase like “100 calories per hour” or “3 dollars per gallon,” it means the same as “100 calories for every hour” or “3 dollars for every gallon.”

What is another way of saying that Janelle can ride her bike at a rate of 15 kilometers per hour?

• Janelle can ride her bike 15 kilometers for every hour.

• Janelle can ride her bike 1 kilometer every 15 hours.

• Janelle can ride her bike 1 kilometer for every hour.

• Janelle can ride her bike 15 kilometers in 2 hours.

If Kiara earns $15 per hour for babysitting, how many hours will it take her to earn $90?

• 4 hours

• 5 hours

• 6 hours

• 7 hours

Clarence is skateboarding down the street. He estimates that a skateboard wheel goes around 20 times in 1 minute. About how many times will his wheels rotate in 5 minutes?

• 25 times

• 35 times

• 100 times

• 200 times

Which of these is a unit rate?

• $25 per 5 hours

• 10 kilometers per minute

• 35 miles per 4 gallon

• 75 yards per 25 dollars

Marco’s Pizzeria is having a special: 5 pizzas for $25. What is the unit price?

• $5 per pizza

• $10 per pizza

• $15 per pizza

• $25 per pizza

A car is going 50 miles per hour. A rate that describes this would have units of

• miles and hours.

• miles and cars.

• hours only.

• miles only.

If you walk to school at a rate of 3 miles per hour, how long will it take you to walk 6 miles?

• 1 hour

• 2 hours

• 3 hours

• 6 hours

If Cody makes $10 an hour at his after school job, how many hours will it take him to earn $150?

• 1.5 hours

• 10 hours

• 15 hours

• 20 hours

If 15 books cost $90, what is the unit price?

• $5 per book

• $6 per book

• $9 per book

• $10 per book