Ratios, Rates, and Unit Rate

Ratios, Rates, and Unit Rate

Ratio

A comparison of two numbers using division

You can write a ratio in 3 different forms: fraction, colon, the word "to"

​fraction

​colon

​"to"

Ratio

You can use a ratio to compare information in three different settings: a part-to-part comparison, a part-to-whole comparison, or a whole-to-part comparison

Multiple Select

What are the 3 ways you can write a ratio?

• fraction

• colon

• the word "to"

• part-to-part

Multiple Choice

7 girls to 5 boys

• part-to-part

• part-to-whole

• whole-to-part

Multiple Choice

7 girls to all the students in the class

• part-to-part

• part-to-whole

• whole-to-part

Multiple Choice

all the students in the class to 5 boys

• whole-to-part

• part-to-part

• part-to-whole

Multiple Choice

Patrick has 2 black, 3 red, and 5   white toy cars. What is the ratio of red toy cars to all the toy cars? 

• 3:5
• 1:3
• 3:11
• 3:10

Multiple Choice

Complete the ratio table.

• 6

• 8

• 9

• 5

Multiple Choice

Use the table to write the ratio of green beans to peas.

• 31:74

• 31:13

• 74:13

• 13:31

Multiple Choice

What is the ratio of red circles to blue stars?

• 3:4
• 7/4
• 11/4
• 4 to 7

Equivalent Ratios

• equivalent ratios work like fractions, whatever you do to the top (numerator), you have to do to the bottom (denominator

Multiple Choice

1:2 is equivalent to 2:4

• yes, the top and bottom were both multiplied by 2

• no

Multiple Choice

Mason went on a fishing trip. He hooked 1 bass for every 2 catfish he caught. How many bass did he catch if he caught 14 catfish?

• 12 fish

• 10 fish

• 7 fish

• 8 fish

Multiple Choice

Students at the OB School prefer tacos to pizza in a ratio of 3 to 2. If 90 students prefer tacos, how many prefer pizza?

• 60

• 120

• 90

• 100

Multiple Choice

Which ratio is equivalent to $$\frac{10}{2}$$  ?

• $$\frac{1}{2}$$  

• $$\frac{5}{1}$$

• $$\frac{1}{5}$$  

• $$\frac{4}{2}$$  

Multiple Choice

Which ratio is equivalent to 4:12

• 4:2

• 1:3

• 3:4

• 2:24

Multiple Select

Select ALL the ratios that are equivalent to 16 : 6

• 3 to 8

• 32 : 12

• 4 to 2

• 8 to 3

Multiple Choice

The common factor we can use to simplify the ratio above to its simplest form is

• 3

• 4

• 6

• 7

Multiple Select

How can we find equivalent ratios? ( choose 2 answers )

• Adding

• Dividing

• Subtracting

• Multiplying

Rate

• A rate is a comparison of two measurements with different units of measure and is considered to be a special kind of ratio.

• For example, 12 golf balls for $6 can be written as 12:6. This RATE compares golf balls to their price.

Unit Rate

• A rate with a denominator of 1.

• When finding the unit rate, simplify the ratio.

• You could also divide.

• Basically think... "How much is just 1?"

Multiple Choice

Find the unit rate: 10 miles in 5 hours

• 2 miles in 1 hour

• 1 mile in 2 hours

Multiple Choice

Sam reads at a rate of 160 words per minute. Who reads at the same rate as Sam?

• Molly

• Braxter

• Sarah

• Damain

Multiple Choice

Given 1 in = 2.54 cm, how many centimeters are in 5 inches?

• 7.62 cm

• 12.7 cm

• 5.08 cm

• 1.97 cm

Multiple Choice

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

• $8 per pound

• $35 per pound

• $5 per pound

• $0.125 per pound

Multiple Choice

A store has 120 customers in 6 hours. What is the unit rate in customers per hour?

• 16 customers per hour

• 12 customers per hour

• 20 customers per hour

• 15 customers per hour

Multiple Choice

Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?

• $.50 per pound

• $1.25 per pound

• $3 per pound

• $2.50 per pound

Multiple Choice

A cashier at the grocery store rung up 2 customers in 8 minutes. At this rate, how many customers can he ring up in 32 minutes?

• 16 customers

• 10.5 customers

• 8 customers

• 4 customers

Multiple Choice

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

• 408 words per minute

• 100 words per minute

• 400 words per minute

• 102 words per minute

Multiple Choice

You're throwing a party, and you ordered 15 pizzas for your guests. Your total came to $97.50. What was your unit cost per pizza?

• $4.95 per pizza

• $5.75 per pizza

• $7.25 per pizza

• $6.50 per pizza

Multiple Choice

Ken can walk 40 dogs in 8 hours. Determine how many dogs he can walk in one hour.

• 5 hours per dog

• 5 dogs per hour

• 320 dogs per hour

• not here

Multiple Choice

$279 for 9 concert tickets. Find the cost per ticket.

• $31

• $39

• $2,511

• $34

Multiple Choice

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

• 10 hours

• 1.5 hours

• 15 hours

• 20 hours