Transcript Identify Proportional Relationships

Five-Minute Check (over Lesson 4–1)
Main Idea and Vocabulary
Example 1: Identify Proportional Relationships
Example 2: Identify Proportional Relationships
• Identify proportional and nonproportional
relationships.
• proportional
• nonproportional
Identify Proportional Relationships
HOUSE CLEANING A house-cleaning service
charges $45 for the first hour and $30 per hour for
each additional hour. The service works for 4 hours.
Is the fee proportional to the number of hours
worked? Make a table of values to explain your
reasoning.
Find the fee for 1, 2, 3, and 4 hours worked and make a
table to display numbers and cost.
Identify Proportional Relationships
For each number of hours, write the relationship of the
fee and number of hours as a ratio in simplest form.
,
Answer: Since the ratios of the two quantities are not
the same, the fee is not proportional to the
number of hours worked. The relationship is
nonproportional.
PLUMBING A plumbing company charges $50 for
the first hour and $40 for each additional hour.
Suppose a service call is estimated to last 4 hours.
Is the fee proportional to the number of hours
worked?
A. yes
B. no
1.
2.
0%
B
A
0%
A
B
Identify Proportional Relationships
Find the amount of jelly and egg whites needed for
different numbers of servings and make a table to show
these measures.
Identify Proportional Relationships
For each number of cups of jelly, write the relationship of
the amount of jelly to the number of egg whites as a ratio
in simplest form.
,
Identify Proportional Relationships
Answer: Since all the ratios between the two quantities
are all equal to
, the amount of jelly used is proportional
to the number of egg whites used.
COOKING Among other ingredients, a chocolate
chip cookie recipe calls for 2.5 cups of flour for every
1 cup of sugar and every 2 eggs. Is the amount of
flour used proportional to the number of eggs used?
A. yes
B. no
1.
2.
0%
B
A
0%
A
B
End of the Lesson
Five-Minute Check (over Lesson 4–1)
Image Bank
Math Tools
Solving Proportions
Dilations
Similar Triangles
(over Lesson 4-1)
Express the ratio 6 grape candies out of a package
of 24 in simplest form.
A.
B.
C. 4
D. 6
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
(over Lesson 4-1)
Express the ratio 3 cups to 2 pints is simplest form.
A. 4:3
B. 3:4
C. 3:2
D. 2:3
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
(over Lesson 4-1)
Express the rate $27 for 6 pizzas as a unit rate.
A. $27/pizza
B. $21/pizza
C. $6/pizza
D. $4.50/pizza
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
(over Lesson 4-1)
Express the rate 2,550 people in 5 days as a
unit rate.
A. 2,555 people/day
B. 2,545 people/day
C. 550 people/day
D. 510 people/day
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
(over Lesson 4-1)
Express the rate 198 miles in 3 hours as a unit rate.
A. 201 mi/h
B. 195 mi/h
C. 66 mi/h
D. 33 mi/h
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
(over Lesson 4-1)
Which of the following options is the best buy for a
bag of flour?
A. 1 pound at $0.79
B. 5 pounds at $1.70
C. 4 pounds at $1.40
D. 10 pounds at $3.60
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D