Math Problem Statement
Solution
To find the constant of proportionality, , we need to choose a point on the graph and calculate the ratio of to .
From the graph, one clear point is . At this point:
Thus, the constant of proportionality is 50.
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Here are 5 follow-up questions related to this topic:
- What does the constant of proportionality represent in a real-world context?
- How can you verify if a relationship is proportional by looking at a table of values?
- What is the equation of a line with a proportional relationship between and ?
- How do proportional relationships differ from linear relationships that are not proportional?
- How would the graph change if the constant of proportionality were larger or smaller?
Tip: Always check the origin in proportional graphs—it must pass through for the relationship to be proportional!
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Math Problem Analysis
Mathematical Concepts
Proportional Relationships
Linear Equations
Formulas
y = kx
k = y/x
Theorems
Proportionality Theorem
Suitable Grade Level
Grades 6-8
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