Lesson 1

Understanding Proportional Relationships

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.

graph. horizontal axis, time in hours, scale 0 to 1, by 1 tenth's. vertical axis, distance in miles, scale 0 to 6, by 2's. line passing through origin and 4 tenths comma 2. 

Solution

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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.

graph. horizontal axis, blueberries in pounds, scale 0 to 40, by 10's. vertical axis, cost in dollars, scale 0 to 120, by 12's.  

Solution

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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)

Solution

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(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

Solution

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(From Unit 4, Lesson 3.)