Mrs.D Math · 7th Grade

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Constant Rate of Change
y = kx   |   k =
y
x
📊 From a Table
📚 Real-World
🎲 Mixed
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📊 Constant Rate of Change

Proportional Relationships

k
y = kx — all proportional relationships pass through the origin (0, 0). The constant of proportionality k is the rate of change.
Table: (1,4) (2,8) (3,12) → k = y÷x = 4÷1 = 4
k=
k = y ÷ x — since the line goes through (0,0), you can use any row: just divide y by x.
Negative k → y decreases as x increases. Works the same way: k = y ÷ x.

Two Question Types

📊
From a Table — Pick any 2 rows and apply the formula. Type your answer.
📚
Real-World — A context story with two data points. Choose the unit rate from 4 options.

From a Table Example

xy
26
515
824
m = (15−6)/(5−2) = 3  •  y increases by 3 for every x increase of 1
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FROM TABLE
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