Lesson 08: Comparing Relationships with Equations | Unit 2: Introducing Proportional Relationships

Multiple Choice

The relationship between a distance in yards (y) and the same distance in miles (m) is described by the equation y = 1,760 m. What is the distance in yards for 5 miles?

• 4,000 yards
• 7,200 yards
• 9,600 yards
• 8800 yards

Multiple Choice

Decide whether or not the equation represents a proportional relationship for the remaining length (L) of a 120-inch rope after x inches have been cut off: 120-x = L.

• Yes, it represents a proportional relationship.

• No, it does not represent a proportional relationship.

Multiple Choice

Decide whether or not the equation represents a proportional relationship for the total cost (t) after 8% sales tax is added to an item's price (p): 1.08p = t.

• Yes, it represents a proportional relationship.

• No, it does not represent a proportional relationship.

Multiple Choice

Decide whether or not the equation represents a proportional relationship for the number of marbles each sister gets (x) when m marbles are shared equally among four sisters: $$x=\frac{m}{4}$$ .

• Yes, it represents a proportional relationship.

• No, it does not represent a proportional relationship.

Multiple Choice

Decide whether or not the equation represents a proportional relationship for the volume (V) of a rectangular prism whose height is 12 cm and base is a square with side lengths (s) cm: $$V=12s^2$$ .

• Yes, it represents a proportional relationship.

• No, it does not represent a proportional relationship.

Open Ended

Use the equation $$y = \frac52 x$$ to complete the table.

Is $$y$$ proportional to $$x$$ ? Explain why or why not.

Open Ended

Use the equation $$y = 3.2x+5$$ to complete the table.

Is $$y$$ proportional to $$x$$ ? Explain why or why not.

Open Ended

A student argues that $$y=\frac{x}{9}$$ does not represent a proportional relationship between $$x$$ and $$y$$ because we need to _multiply_ one variable by a constant to get the other one, not _divide_ by a constant. Do you agree or disagree with this student? Provide your reasoning.

Multiple Choice

Decide whether or not each equation represents a proportional relationship. Volume measured in cups (c) vs. the same volume measured in ounces (z): $$c=\frac{1}{8}z$$ .

• Yes, it represents a proportional relationship.

• No, it does not represent a proportional relationship.

Multiple Choice

Decide whether or not each equation represents a proportional relationship. Area of a square (A) vs. the side length of the square (s): $$A=s^2$$ .

• Yes, it represents a proportional relationship.

• No, it does not represent a proportional relationship.