Lesson 1

Understanding Proportional Relationships

Let’s study some graphs.

Problem 1

Priya jogs at a constant speed. The relationship between her distance and time is shown on the graph. Diego bikes at a constant speed twice as fast as Priya. Sketch a graph showing the relationship between Diego’s distance and time.

Problem 2

A you-pick blueberry farm offers 6 lbs of blueberries for \$16.50.

Sketch a graph of the relationship between cost and pounds of blueberries.

Problem 3

A line contains the points $$(\text-4,1)$$ and $$(4,6)$$. Decide whether or not each of these points is also on the line:

1. $$(0,3.5)$$
2. $$(12,11)$$
3. $$(80,50)$$
4. $$(\text-1,2.875)$$
(From Unit 2, Lesson 17.)

Problem 4

Select all the inequalities that have the same solutions as $$\text-4x<20$$.

A:

$$\text-x<5$$

B:

$$4x>\text-20$$

C:

$$4x < \text-20$$

D:

$$x < \text-5$$

E:

$$x>5$$

F:

$$x>\text-5$$

(From Unit 4, Lesson 3.)