# Lesson 3

Representing Proportional Relationships

### Problem 1

Here is a graph of the proportional relationship between calories and grams of fish:

1. Write an equation that reflects this relationship using $$x$$ to represent the amount of fish in grams and $$y$$ to represent the number of calories.
2. Use your equation to complete the table:
grams of fish number of calories
1000
2001
1

### Solution

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### Problem 2

Students are selling raffle tickets for a school fundraiser. They collect \$24 for every 10 raffle tickets they sell.

1. Suppose $$M$$ is the amount of money the students collect for selling $$R$$ raffle tickets. Write an equation that reflects the relationship between $$M$$ and $$R$$.
2. Label and scale the axes and graph this situation with $$M$$ on the vertical axis and $$R$$ on the horizontal axis. Make sure the scale is large enough to see how much they would raise if they sell 1000 tickets.

### Solution

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### Problem 3

Describe how you can tell whether a line’s slope is greater than 1, equal to 1, or less than 1.

### Solution

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(From Unit 2, Lesson 10.)

### Problem 4

A line is represented by the equation $$\frac{y}{x-2}=\frac{3}{11}$$. What are the coordinates of some points that lie on the line? Graph the line on graph paper.

### Solution

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(From Unit 2, Lesson 12.)