7.3B STUDENT ACTIVITY #1 (7.3) Patterns, relationships, and algebraic thinking. The student solves problems involving proportional relationships. The student is expected to: (B) estimate.

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Transcript 7.3B STUDENT ACTIVITY #1 (7.3) Patterns, relationships, and algebraic thinking. The student solves problems involving proportional relationships. The student is expected to: (B) estimate.

7.3B STUDENT ACTIVITY #1
(7.3) Patterns, relationships, and algebraic thinking.
The student solves problems involving proportional relationships.
The student is expected to:
(B) estimate and find solutions to application problems involving
proportional relationships such as similarity, scaling, unit costs,
and related measurement units.
Problem #1: A caterer has been hired to make trays of
appetizers for a wedding reception. The price for 2 trays is
$44.50. The bride has ordered 17 trays. How much will she pay
for 17 trays of appetizers?
ratios being ________.
compared Be certain to
• Identify the ________
quantities in the same ________.
order
compare the corresponding ________
number of trays
cost of trays
2
$44.50
44.50
17
x
ratios
proportion using the two ________.
• Write a _________
Let x equal the
17 trays.
cost of the _____
trays
2
cost
44.50
=
17
x
• Use cross products or another appropriate method to
solve the proportion.
3
78 2 5
378.25
.
2 756.50
- 6
15
- 14
16
- 16
0 5
- 4
10
- 10
0
17
2
=
x
44.50
2x = 44.50 • 17
2x = 756.50
2
2
33
44.50
x 17
31 1 50
+ 44 50
7
756.50
5 6 5 0.
x = ______
The bride will pay _______
$378.25 for 17 appetizer trays.