# 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:

- \((0,3.5)\)
- \((12,11)\)
- \((80,50)\)
- \((\text-1,2.875)\)

### 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:

(From Unit 4, Lesson 3.)
\(x>\text-5\)