Proportionality>Comparing Additive and Multiplicative Relationships(TEKS.Math.6.4.A)
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Texas 6th Grade Math › Proportionality>Comparing Additive and Multiplicative Relationships(TEKS.Math.6.4.A)
Questions 1 - 1
1
Pattern A:
- Verbal: A $2$-dollar fee is added to the cost, so you pay $x$ dollars plus $2$.
- Table: $x$: 1, 2, 5; $y$: 3, 4, 7
- Equation: $y = x + 2$
Pattern B:
- Verbal: You earn $12$ dollars for each hour worked.
- Table: $x$: 1, 2, 5; $y$: 12, 24, 60
- Equation: $y = 12x$
Which pattern shows an additive relationship?
Pattern B only
Both patterns
Neither patterns
Pattern A only
Explanation
Additive relationships have the form $y = x + a$ (constant $y - x$). Pattern A has $y = x + 2$ so $y - x = 2$. Pattern B is $y = 12x$ (multiplicative) with constant ratio $y/x = 12$ for $x>0$.