Proportional Relationships Worksheet
Explore and understand proportional relationships through various exercises including identifying proportionality, calculating constants, and solving real-world problems.
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Proportional Relationships
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Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.
1. Which of the following equations represents a proportional relationship?
y = 3x + 2
y = x - 5
y = 4x
y = x/2 + 1
2. In a proportional relationship, the ratio of y to x is always .
3. The constant of proportionality is represented by the variable in the equation y = kx.
4. A car travels 180 miles in 3 hours. Assuming a constant speed, how many miles will it travel in 5 hours? Explain your reasoning.
5. Plot the points (0,0), (1,2), (2,4), (3,6) on the coordinate plane below. Is this a proportional relationship? Explain your answer.
6. All linear relationships are proportional relationships.
True
False
Match each term with its definition.
7. Constant of Proportionality
a. A comparison of two quantities by division.
8. Ratio
b. A relationship between two quantities where their ratio is constant.
9. Proportional Relationship
c. The constant ratio between two proportional quantities.