Mrs.D Math · 6th Grade

VARIABLE
VOYAGE

Independent & Dependent Variables · Graphing
📋 Tables
📈 Graphs
🧭 Independent (x)
🎯 Dependent (y)
🧭 x = the cause
🎯 y = the effect
🚗 d = 45h
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📚 Independent & Dependent Variables

Which Variable Is Which?

The independent variable (x) is the cause — the one you control. The dependent variable (y) is the effect — it depends on x.

1
Joe drives 45 mph. The hours he drives (x) determine the miles he travels (y).
d = 45h  →  hours = independent, distance = dependent
2
Sue rents a kayak for $20/hour. Hours rented (x) determine the total cost (y).
c = 20h  →  hours = independent, cost = dependent
3
On a graph: independent goes on the x-axis, dependent goes on the y-axis.

Completing a Table

Use the rate to find each y-value: multiply x by the rate (and add any starting amount).

✓
Joe at 45 mph: 3 hours → 45 × 3 = 135 miles
✓
Sue’s kayak at $20/hr: 4 hours → 20 × 4 = $80
✓
Bonus: values that can be ANY amount (like time) are continuous; values counted in whole steps (like tickets) are discrete.

How to Play

🧭
Independent or Dependent? — Read the situation and pick the correct variable.
📋
Complete the Table — Type the missing number in the table.
🌟
Mixed — Both types together for the ultimate voyage!
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INDEPENDENT OR DEPENDENT?
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