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Chapter 3: Proportional Relationships; Lesson 1: Representing Proportional Relationships

Independent Practice

The table shows the relationship between temperatures measured on the Celsius and Fahrenheit scales. • Question 7

Is the relationship between the temperature scales proportional? Why or why not?

• Question 8

Describe the graph of the Celsius-Fahrenheit relationship.

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• Question 9

Analyze Relationships

Ralph opened a savings account with a deposit of $100. Every month after that, he deposited$20 more.

a. Why is the relationship described not proportional?

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• Question 9

b. How could the situation be changed to make the situation proportional?

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• Question 10

Represent Real-World Problems

Describe a real-world situation that can be modeled by the equation $$y=\large\frac{1}{20}\small\text{x}$$. Be sure to describe what each variable represents.

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Look for a Pattern

The variables x and y are related proportionally.

• Question 11

When x = 8, y = 20. Find y when x = 42.

• Question 12

When x = 12, y = 8. Find x when y = 12.

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