Constant of proportionality
Constant of proportionality is a skill on Pengi from Lesson 69: Direct Variation in Saxon Math, Course 3.
Key Concepts
Property The constant of proportionality, $k$, is the fixed ratio in a direct variation, calculated as the dependent variable ($y$) divided by the independent variable ($x$). $$k = \frac{y}{x}$$.
Examples If pay is 36 dollars for 3 hours, the constant is $k = \frac{36}{3} = 12$. If Eunice says 2 and Doubleday replies 4 in the equation $d=ke$, then $k = \frac{ 4}{ 2} = 2$.
Explanation This is the relationship's "magic number"! It’s the one value that connects the two variables and tells you their secret. To find it, just divide the output (y) by the input (x). It never, ever changes for that specific relationship.
Common Questions
What is Constant of proportionality?
Constant of proportionality is a skill on Pengi from Lesson 69: Direct Variation in Saxon Math, Course 3.
What grade level is Constant of proportionality for?
Constant of proportionality is part of the Grade 8 Math curriculum, covered in Saxon Math, Course 3. It is designed for students studying Math at the Grade 8 level.
How can I learn Constant of proportionality?
Pengi offers an AI-guided lesson for Constant of proportionality that walks you through the key concepts step by step. The lesson is aligned to Saxon Math, Course 3 so the content matches what you see in class.
How do I practice Constant of proportionality?
After learning the concept, use the Practice mode to work through targeted exercises on Constant of proportionality. The AI adapts to your level and gives feedback on each answer so you can identify and fix mistakes.
Which textbook covers Constant of proportionality?
Constant of proportionality is covered in Saxon Math, Course 3, specifically in Chapter 7: Algebra under Lesson 69: Direct Variation. Pengi's lesson is aligned directly to this textbook so you can follow along with your class.
Is Constant of proportionality free to study on Pengi?
Yes, the core Learn and Practice modes for Constant of proportionality are available for free on Pengi. No credit card is required to start studying.