TOPIC
MY PROGRESS
Pug Score
0%
Best Streak
0 in a row
Study Points
+0
Overview
Practice
Watch
Read
Quiz
Next Steps
Get Started
Get unlimited access to all videos, practice problems, and study tools.
Back to Menu
Topic Progress
Pug Score
0%
Videos Watched
0/0
Best Practice
No score
Read
Not viewed
Best Quiz
No attempts
Best Streak
0 in a row
Study Points
+0
Overview
Practice
Watch
Read
Quiz
Next Steps
Overview
Direct Variation
Understand direct variation, the equation y = kx, and how to find and use the constant of variation in tables, graphs, and word problems.
What You'll Learn
Identify direct variation as a relationship of the form y = kx between two variables.
Calculate the constant of variation k using k = y divided by x from a single ordered pair.
Recognize direct variation in a table by checking that the ratio of y to x stays constant.
Graph a direct variation equation as a straight line that always passes through the origin.
Apply the direct variation equation to solve real world word problems involving proportional quantities.
Compare direct variation to inverse variation to avoid confusing the two relationships.
What You'll Practice
1
Checking tables of values for consistent constant variation
2
Identifying direct variation equations among linear and inverse variations
3
Finding missing values in tables using the direct variation formula
4
Solving word problems involving volume, height, and other proportional quantities
Why This Matters
Direct variation is fundamental for understanding proportional relationships in science, economics, and engineering. You'll use it to model real-world scenarios like speed and distance, cost and quantity, and physical laws, making it essential for algebra, physics, and data analysis.
This Unit Includes
5 Video lessons
Practice exercises
Learning resources
Skills
Direct Variation
Constant of Variation
Proportional Relationships
Linear Equations
Ratio
Algebraic Modeling
Word Problems
NS Curriculum Aligned