Mrs.D Math · 7th Grade
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Constant Rate of Change
y = kx
|
k
=
y
x
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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
x
y
2
6
5
15
8
24
m = (15−6)/(5−2) = 3 • y increases by 3 for every x increase of 1
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