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Unit 5, Lesson 1

Proportional Relationships and Equations

Accelerated 6

Practice

Problem 1

A ceiling is made up of tiles. Every square meter of the ceiling requires 10.75 tiles. Fill in the table with the missing values.

square meters of ceiling	number of tiles
1
10
	100
$a$

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Problem 2

Problem 3

Each table represents a proportional relationship. For each, find the constant of proportionality, and write an equation that represents the relationship.

$s$	$P$
2	8
3	12
5	20
10	40

Constant of proportionality:

Equation: $P =$

$d$	$C$
2	6.28
3	9.42
5	15.7
10	31.4

Constant of proportionality:

Equation: $C =$

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Problem 4

ForLesson 10: Navigating a Table of Equivalent Ratios

Diego bought 12 paint brushes for \$4.20.

At this rate, how much would Diego pay for 4 paint brushes?
How many paint brushes could Diego buy with \$3.00? Explain or show your reasoning. If you get stuck, consider using the table.

number of paint brushes	price in dollars
12	4.20

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Proportional Relationships and Equations

Practice

Problem 1

Problem 2

Lesson 1 Resources

Problem 3

Problem 4

Problem 5

\(s\)	\(P\)
2	8
3	12
5	20
10	40