Understanding the Constant of Proportionality
This worksheet guides you through key concepts of the constant of proportionality, including identification, application, and analysis of proportional relationships in various contexts.
1. What is the constant of proportionality in the equation y = 5x? (1 choice)
2. Which of the following statements are true about directly proportional relationships? (multiple choice)
3. Explain in your own words what it means for two variables to be directly proportional.
4. Identify the constant of proportionality and the dependent variable in the equation y = 3x.
Constant of Proportionality:
Dependent Variable:
5. If the constant of proportionality is 7, what is the equation that represents the relationship between y and x? (1 choice)
6. Which of the following graphs could represent a directly proportional relationship? (multiple choice)
7. A recipe requires 3 cups of flour for every 2 cups of sugar. Write an equation representing the relationship between flour (f) and sugar (s).
8. If a car travels 60 miles in 1 hour, what is the constant of proportionality between distance and time? (1 choice)
9. Which statement best evaluates the relationship between the variables in the equation y = 10x? (1 choice)
10. Create a scenario where the constant of proportionality is 5. Which of the following could be correct? (multiple choice)
11. Design a real-world problem involving a directly proportional relationship. Provide the equation and explain how you would solve it.
12. If the graph of a relationship between x and y is a straight line through the origin with a slope of 2, what is the constant of proportionality? (1 choice)
13. Which of the following scenarios can be modeled by a directly proportional relationship? (multiple choice)
14. Analyze the table below and determine if the relationship between x and y is directly proportional. Justify your answer.
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