1. Which of the following represents a unit rate?

$4

----------

12 books



5 pages

---------- THIS ONE

2 Minutes


80 beats

---------

1 minute


72 inches

--------

2 yards



  1. A nonstop flight from Albuquerque, NM to Atlanta, GA takes 3 hours. If the plane flies a total of 1,269 miles, what is the plane's unit rate in miles per hour?


3,807

1,266

432 THIS IS WHAT I PICK

423

  1. Three different bags of pretzels are sold at the store. Which bag of pretzels is the best buy?

Bag A:10 ounces for 1.10

Bag B:12 ounces for 1.38

Bag C:6 ounces for 0.84


Bag A

Bag B

Bag C THIS IS WHAT I PICK

Bag A and Bag B are equally good values.



Samantha types 40 words per minute. How many words can Samantha type in 8 minutes?


48

240

320 THIS ONE

360




How many miles can a car travel on 15 gallons of gas if it travels 28 miles on 1 gallon of gas?


43

270

405

420 THIS ONE

Verified Answer :

1 - C) 80 beats / min

2 - 1269/3 = 423 mph [ Option D ]

3 - Bag A

4 - 40 8 = 320 [ Option C ]

5 - 28
15 = 420 [ Option D ]
Hope this helps!

Answer:

Part 1) \(80\frac{beats}{minute}\)

Part 2) \(423 \frac{miles}{hour}\)

Part 3) Bag A \(10\) ounces for \(\$1.10\)

Part 4) \(320\ words\)

Part 5) \(420\ miles\)

Step-by-step explanation:

we know that

A Unit Rate is the ratio of two measurements in which the second term is equal to one

Part 1)

\(80\frac{beats}{minute}\)

rewrite

\(80\frac{beats}{minute}=\frac{80}{1}\frac{beats}{minute}\)

the second term is equal to one

therefore

Is a unit rate

Part 2) To find the unit rate divide the total miles by the total hours

so

\(\frac{1,269}{3}\frac{miles}{hours}=423 \frac{miles}{hour}\)


Part 3)

Find the unit price of each bag


Bag A -------> \(\frac{1.10}{10}\frac{\$}{ounces}=0.11\frac{\$}{ounce}\)


Bag B -------> \(\frac{1.38}{12}\frac{\$}{ounces}=0.115\frac{\$}{ounce}\)


Bag C -------> \(\frac{0.84}{6}\frac{\$}{ounces}=0.14\frac{\$}{ounce}\)

The best buy is the bag A ( is the smallest unit price)

Part 4) we know that

Samantha types \(40\) words per minute

so

by proportion

Find how many words type in \(8\) minutes

\(\frac{40}{1}\frac{words}{minute}=\frac{x}{8}\frac{words}{minutes}\\ \\x=8*40\\ \\x=320\ words\)

Part 5) How many miles can a car travel on \(15\) gallons of gas if it travels \(28\) miles on 1 gallon of gas

by proportion

\(\frac{28}{1}\frac{miles}{gallon}= \frac{x}{15}\frac{miles}{gallons}\\ \\x=15*28\\ \\x=420\ miles\)