Determine if the quantities in the pair of rates are proportional

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Proportion
Review
• Determine if two ratios are proportional.
• proportional
• proportion
Use Unit Rates
Determine if the quantities in the pair of rates are
proportional. Explain your reasoning and express the
proportional relationship as a proportion.
20 rolls for $5; 48 rolls for $12
Write each rate as a fraction. Then find its unit rate.
÷5
÷12
÷5
÷12
Use Unit Rates
Answer: Since the rates have the same unit rate, they
are equivalent. The cost is proportional to the
number of rolls. So,
.
Determine if the quantities in the pair of rates are
proportional. Explain your reasoning.
18 cookies for $6; 24 cookies for $8
A. No; the rates are not
proportional.
B. Yes; the unit rates
are the same,
C. Yes; the unit rates
are the same,
D. Yes; the unit rates
are the same,
.
.
.
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
Use Unit Rates
Determine if the quantities in the pair of ratios are
proportional. Explain your reasoning and express the
proportional relationship as a proportion.
42 people on 7 teams; 64 people on 8 teams
÷7
÷8
÷7
÷8
Use Unit Rates
Answer: The number of people is not proportional to
the number of teams.
Determine if the quantities in the pair of ratios are
proportional. Explain your reasoning.
16 students with 8 teachers; 30 students with
10 teachers
C.
Yes; the ratio are proportional,
D.
Yes; the ratios are proportional,
.
.
.
1.
2.
3.
4.
0%
A
B
C
D
0%
0%
0%
D
Yes; the ratios are proportional,
C
B.
B
No; the ratios are not proportional.
A
A.
Use Unit Rates
FOOD You can buy 3 medium pizzas at The Pizza
Place for $18 or 5 medium pizzas for $30. Are these
selling rates proportional? Explain your reasoning.
÷3
÷5
÷3
÷5
Answer: Yes; since the unit rates are the same,
the rates are proportional.
A. No; the ratios are not proportional.
B. Yes; the unit rates are the same,
C. Yes; the unit rates are the same,
D. Yes; the unit rates are the same,
1.
2.
3.
4.
A
B
C
D
0%
D
0%
C
0%
B
0%
A
FOOD At a farmer’s market, one farmer
is selling 6 pumpkins for $12. Another
farmer is selling his pumpkins 10 for $20.
Are these selling rates proportional?
Explain your reasoning.
Use Equivalent Fractions
Determine if the quantities in the pair of rates are
proportional. Explain your reasoning and express the
proportional relationship as a proportion.
5 laps swum in 8 minutes; 11 laps swum in 16
minutes
Write each ratio as a fraction.
?
×2
The numerator and the
denominator are not
multiplied by the same
number. So, the fractions
are not equivalent.
Use Equivalent Fractions
Answer: No; Since
are not proportional.
the rates
Determine if the quantities in the pair of rates are
proportional. Explain your reasoning.
2 classes taken in 5 hours, 8 classes in 15 hours
A. No;
B. Yes;
C. Yes;
D. Yes;
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
Use Equivalent Fractions
Determine if the quantities in the pair of ratios are
proportional. Explain your reasoning and express
each proportional relationship as a proportion.
8 corrals with 56 horses; 4 corrals with 28 horses
÷2
?
÷2
The numerator and the
denominator are divided by
the same number. So, the
fractions are equivalent.
Use Equivalent Fractions
Answer: Yes; Since
fractions are equivalent;
, the
Determine if the quantities in the pair of ratios are
proportional. Explain your reasoning.
10 cages with 25 birds, 2 cages with 5 birds
A.
B.
C.
D.
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
MONEY Admission to a local art museum is $8 for
each adult. How much does it cost for 4 adults to
attend the museum?
A. $24
B. $30
C.
D. $36
$32
1.
2.
3.
4.
A
B
C
D
(over Lesson 6-2)
EXERCISE Kim can run 8 miles in 60 minutes. At
this rate, how long will it take her to run 2 miles?
A. 10 min
B. 15 min
C. 20 min
D. 30 min
1.
2.
3.
4.
A
B
C
D
(over Lesson 6-2)
Two pounds of ground beef will make 12 cups of
chili. How many pounds of ground beef will Rashad
need if he wants to make 18 cups of chili?
D. 6
0%
A
B
C
D
0%
D
C. 5
A
0%
1.
2.
3.
4.
0%
C
B. 4
B
A. 3
End of
the
Lesson
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