Question

1. Which of the following represents a unit rate?

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

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

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