Math Problem Statement
Which equation has a constant of proportionality equal to [10]? Choose 1 answer: Choose 1 answer: (Choice A)
[y=\dfrac{2}{20}x] A
[y=\dfrac{2}{20}x] (Choice B)
[y=\dfrac{30}{3}x] B
[y=\dfrac{30}{3}x] (Choice C)
[y=\dfrac{12}{2}x] C
[y=\dfrac{12}{2}x] (Choice D)
[y=\dfrac{5}{5}x] D
[y=\dfrac{5}{5}x]
Solution
To determine which equation has a constant of proportionality equal to 10, we need to identify the coefficient of in each equation, as the general form for a direct variation is , where is the constant of proportionality.
Let's evaluate each choice:
-
Choice A:
Constant of proportionality . -
Choice B:
Constant of proportionality . -
Choice C:
Constant of proportionality . -
Choice D:
Constant of proportionality .
The only equation with a constant of proportionality equal to 10 is Choice B:
Would you like further details or explanations? Here are some related questions you might consider:
- What does the constant of proportionality represent in a linear equation?
- How do you convert a fraction into a decimal?
- Can you explain how to identify constants of proportionality in other forms of equations?
- What are some real-world applications of proportional relationships?
- How does changing the constant of proportionality affect the graph of the equation?
Tip: Always check the coefficient of in the equation to quickly determine the constant of proportionality.
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Math Problem Analysis
Mathematical Concepts
Algebra
Proportional Relationships
Formulas
y = kx
Theorems
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Suitable Grade Level
Grades 6-8