Quiz STUDY GUIDE
Investigation 3
Comparing & Scaling
Name
Date
Period
Write a unit rate for each situation.
Show what you typed into your calculator. Label your answer with the correct units.
1.
Bicycle 102 miles in 5 hours
2.
Type 8,580 words in 2 hours 45 minutes
(HINT: Change to all minutes or all hours)
3.
$30 for 6 books
4.
Manufacture 2,488 parts in 8 hours
_______________________________
_________________________
_______________________________
_______________________________
Tell which is the better buy and explain how you know.
Show what you typed into your calculator. Label your answer with the correct units.
5.
16 ounces of peanuts for $1.29
12 ounces of peanuts for $.95
The
fruit and vegetable stand sells 3 lbs of apples for $1.89.
6.
Find the two different unit rates that express the relationship between the pounds of
apples and the price. Label each rate with the appropriate units .
________________________________
_________________________________
The Fresh Veggie stand sells apples at five pounds for $2.49.
7.
Find which place offers the better deal on the apples. Show your work or explain your
answer.
8.
Construct a rate table for 1-10 pounds of apples at the
vegetable stand.
Pounds
1
2
3
4
5
6
fruit and
7
8
9
Price
9.
Write an equation to show the cost, C, for the pounds of apples, A, bought
at the
stand.
10
CAS 3.quiz STUDY GUIDE ANSWERS
Write a unit rate for each situation.
Show what you typed into your calculator. Label your answer with the correct units.
1.
Bicycle 102 miles in 5 hours
2.
Type 8,580 words in 2 hours 45 minutes
2 hours = 120 minutes + 45 = 165 minutes
(HINT: Change to all minutes or all hours)
102 ÷ 5 = 20.4 miles per hour
8580 ÷ 165 = 52 words per minute
Or 45 minutes = 45/60 = .75 hours
8580 ÷ 2.75 = 3,120 words per hour
3.
$30 for 6 books
4.
Manufacture 2,488 parts in 8 hours
30 ÷ 6 = $5 per book
2,488 ÷ 8 = 311 parts per hr
Tell which is the better buy and explain how you know.
Show what you typed into your calculator. Label your answer with the correct units.
5.
16 ounces of peanuts for $1.29
1.29 ÷ 16 = $0.081 per ounce
12 ounces of peanuts for $.95
.95 ÷ 12 = $0.079 per ounce
You would want to pay less per ounce.
OR
16 ÷ 1.29 = 12.40 ounces per dollar
12 ÷ 0.95 = 12.63 ounces per dollar
You would want more for your dollar.
CAS 3.quiz STUDY GUIDE ANSWERS
The
fruit and vegetable stand sells 3 lbs of apples for $1.89.
6.
Find the two different unit rates that express the relationship between the pounds of
apples and the price. Label each rate with the appropriate units .
3 ÷ 1.89 = 1.59 pounds per dollar
1.89 ÷ 3 = $0.63 per pound
The Fresh Veggie stand sells apples at five pounds for $2.49.
7.
Find which place offers the better deal on the apples. Show your work or explain your
answer.
FV
5 ÷ 2.49 = 2.00 pounds per dollar
You would pick Fresh Veggie because you are getting more apples
for your dollar.
OR
FV
2.49 ÷ 5 = $0.50 per pound
You would pick Fresh Veggie because it is cheaper per pound.
8.
Construct a rate table for 1-10 pounds of apples at the
vegetable stand.
Pounds
1
2
3
4
5
6
7
0.63
1.26
1.89
2.52
3.15
3.78
4.41
Price
9.
fruit and
8
5.04
9
5.67
Write an equation to show the cost, C, for the pounds of apples, A, bought
at the
stand.
C = 0.63A
or
C = 0.63 ● A
10
6.30