Odd One Out — In the ordered pairs ( 2, 11 ), ( 3, 30 ), ( 7, 345 ), and ( 5, 128 ), identify the pair that does not satisfy the pattern y = x^3 + 3.

Introduction / Context:
Recognizing a simple algebraic rule behind ordered pairs is a common pattern-recognition task. Three pairs follow one rule; one does not.

Given Data / Assumptions:

• Pairs: (2, 11), (3, 30), (7, 345), (5, 128).
• Candidate rule: y = x^3 + 3.

Concept / Approach:
Compute x^3 + 3 for each x and compare with the given y.

Step-by-Step Solution:
x = 2: 2^3 + 3 = 8 + 3 = 11, matches.x = 3: 3^3 + 3 = 27 + 3 = 30, matches.x = 5: 5^3 + 3 = 125 + 3 = 128, matches.x = 7: 7^3 + 3 = 343 + 3 = 346, which does not match 345.

Verification / Alternative check:
Re-calc to avoid arithmetic slips; only the third pair misses by 1.

Why Other Options Are Wrong:

• ( 2, 11 ): satisfies y = x^3 + 3.
• ( 3, 30 ): satisfies y = x^3 + 3.
• ( 5, 128 ): satisfies y = x^3 + 3.

Common Pitfalls:
Mistaking 7^3 as 342 or 344; 7^3 is 343 exactly.

Final Answer:
( 7, 345 )