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.)