lesson
Updated 6 days ago · 2 views
If you earn $8 for every car you wash, your paycheck changes based on how much work you do. But which value is in the driver's seat, and which one is along for the ride?
To figure that out, we look at how two changing values connect to each other.
The Cause and Effect Rule
An independent quantity is the value you choose or control first. The dependent quantity is the result that changes in response.
📊A clean visual diagram showing Cause and Effect. On the left, a blue card labeled 'Input / Independent Quantity (x)' containing 'Cars Washed: 3'. An arrow points right with the label '× $8 per car'. On the right, an orange card labeled 'Output / Dependent Quantity (y)' containing 'Total Earned: $24'. Below, a banner reads: 'Total Earned DEPENDS ON Cars Washed'. Responsive 350px width, sleek card layout, #1e2945 text, soft blue and orange accents.
You can test any pair of quantities by asking: "Does money depend on cars washed, or do cars washed depend on money?" Since earnings depend on cars washed, earnings is dependent.
How do we spot these quantities when they are organized into a table?
Reading Vertical Tables
In a standard vertical table, the left column is the independent input (x), and the right column is the dependent output (y).
📊A sleek vertical data table diagram with two columns. Column 1 (Left, highlighted light blue): Header 'Hours Studied (h)' with subheader '[Independent / x]', rows contain 1, 2, 3, 4. Column 2 (Right, highlighted light green): Header 'Test Score (s)' with subheader '[Dependent / y]', rows contain 70, 80, 90, 100. A curved arrow flows from left to right labeled 'Determines'. Clear typography, responsive to 350px width.
Your score changes depending on how many hours you study, so Hours Studied is independent and Test Score is dependent.
What happens when a table is turned sideways?