Lesson 3: Practice Problems

Problem 1

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

A graph of grams of fish vs number of calories with a line starting at (0,0) and a scale of 0 to 300.

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.
Use your equation to complete the table:
grams of fish
number of calories
$1000$
$2001$
$1$

grams of fish	number of calories
$1000$
	$2001$
$1$

Problem 2

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

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 $R$ .
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.

Problem 3 From Unit 2 Lesson 10

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

Problem 4 From Unit 2 Lesson 12

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.