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.
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.
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:
- (0,3.5)
- (12,11)
- (80,50)
- (\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.
\text-x<5
4x>\text-20
4x < \text-20
x < \text-5
x>5
x>\text-5
Solution
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(From Unit 4, Lesson 3.)