Question

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



2. 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

3. 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

Answer 1

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 2

Part 1)
`80(beats)/(minute)`

Part 2)
`423 (miles)/(hour)`

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

Part 4)
`320\ words`

Part 5)
`420\ miles`

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(beats)/(minute)`

rewrite

`80(beats)/(minute)=(80)/(1)(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

`(1,269)/(3)(miles)/(hours)=423 (miles)/(hour)`

Part 3)

Find the unit price of each bag

Bag A ------->
`(1.10)/(10)(\$)/(ounces)=0.11(\$)/(ounce)`

Bag B ------->
`(1.38)/(12)(\$)/(ounces)=0.115(\$)/(ounce)`

Bag C ------->
`(0.84)/(6)(\$)/(ounces)=0.14(\$)/(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

`(40)/(1)(words)/(minute)=(x)/(8)(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

`(28)/(1)(miles)/(gallon)= (x)/(15)(miles)/(gallons)\\ \\x=15*28\\ \\x=420\ miles`