Question

PLEASE HELP ME!!

Express each ratio as a unit rate. Round to the nearest tenth, if necessary.

11.) 343.8 miles on 9 gallons

Answer 1

all you need to do is divide both parts by 9

343.8/9 = ???

9/9 = 1

Answer 2

tell me what you get

Answer 3

you have to convert miles to gallons I thought

Answer 4

nope, just find the unit rate

and you do this by dividing both parts by the second value

Answer 5

besides, converting miles to gallons doesn't make sense since one is a distance and the other is a volume

Answer 6

Ok one second.

Answer 7

ok

Answer 8

382

Answer 9

38.2

Answer 10

good, so

343.8 miles on 9 gallons

turns into

38.2 miles on 1 gallon

Answer 11

which means the unit rate is 38.2 miles per gallon

Answer 12

thank you! can you help me with some more?

Answer 13

sure

Answer 14

13) $52 for 8 tickets.

Answer 15

so how would you do this

use the last problem as a template to get you going if you're stuck

Answer 16

6.5 ?

Answer 17

$6.5 over 1 ticket

Answer 18

so saying

$52 for 8 tickets.

is the same as saying

$6.50 for 1 ticket (assuming all tickets are the same price)

Answer 19

the unit rate is 6.5 dollars per ticket

Answer 20

yep!

Answer 21

next one?

Answer 22

go for it

Answer 23

450 miles in 8 hours

Answer 24

divide both parts by 8 to get ....?

Answer 25

56.25 per ticket

Answer 26

i mean mi an hour

Answer 27

good, 56.25 miles in one hour = 56.25 miles per hour

Answer 28

thanks! I'll do the next 2 by myself and then can you help me with the next part?

Answer 29

alright

Answer 30

19.) Which costs more per notebook, a 4-pack of notebooks for $3.98 or a 5-pack of notebooks for $4.99? explain

Answer 31

find the unit rate for each

so for the 4-pack of notebooks for $3.98 , the unit rate is...

3.98/4 = 0.995 which rounds to 1.00

so the unit rate for "4-pack of notebooks for $3.98" is $1 a notebook (pretty much)

Answer 32

find the unit rate for "5-pack of notebooks for $4.99"

Answer 33

tell me what you get

Answer 34

what does 0.998 round up to

Answer 35

1.00

Answer 36

its the same then

Answer 37

you round to the nearest penny...ie, the nearest hundredth

Answer 38

yep, both are the same deal

Answer 39

ohh

Answer 40

help me with the next ones

Answer 41

if you consider fractions of a penny, they are different

but you don't, which forces you to round landing you on the same numbers

Answer 42

?

Answer 43

make sense?

Answer 44

yep!

Answer 45

ok great

Answer 46

9.) Write a proportion that could be used to solve for each variable. Then solve

6 plums at $1
10 plums at d

Answer 47

6 plums at $1 ---> 6/1

10 plums at d dollars ---> 10/d

the two ratios are equal, so

6/1 = 10/d

Answer 48

solve

6/1 = 10/d

for d

Answer 49

d=1.7?

Answer 50

more like d = 1.667 which rounds to the nearest penny to get d =1.67

Answer 51

so 10 plums cost $1.67

Answer 52

11.) 3 packages at $53.67
7 packages at m

Answer 53

3/53.67 = 7/m

solve for m

Answer 54

m= 125.23?

Answer 55

very good

Answer 56

so 7 packages cost $125.23

Answer 57

ok one sec

Answer 58

ok

Answer 59

On a set of architectual drawings for a school, the scale is 1/2 inch = 4 feet. Find the actual length of each room.

1.) Room: Classroom
Drawing distance: 5 inches

Answer 60

1/2 inch = 4 ft

0.5 inch = 4 ft

Answer 61

5/x = 0.5/4

solve for x

Answer 62

x=12 ft?

Answer 63

5/x = 0.5/4

5*4 = 0.5x

20 = 0.5x

0.5x = 20

x = 20/0.5

x = 40

Answer 64

so a drawing distance of 5 inches corresponds to a real life distance of 40 feet

Answer 65

I understand I just wrote it wrong. I get how to do the problem but I don't get how you set it up.

Answer 66

is it ft?

Answer 67

yes it's 40 ft

Answer 68

well 5 inches corresponds to x feet in real life

so 5/x is one ratio



0.5 inches corresponds to 4 feet in real life, so the other ratio is 0.5/4

Answer 69

the two ratios are equal, so that gives you

5/x = 0.5/4

Answer 70

does the set up make more sense now?

Answer 71

yes :)

Answer 72

ok awesome

Answer 73

one sec

Answer 74

ok

Answer 75

I can do the rest. Thank you so much :)

Answer 76

you're welcome