Proportional scaling pattern 24 → 60 indicates a constant factor; find the analogous output for 120 → ?

Introduction / Context:This item tests recognition of a fixed multiplicative scale factor between inputs and outputs. Once the factor is known, apply it to the new input.

Given Data / Assumptions:

• 24 maps to 60.
• Assume linear scaling: f(n) = k * n.

Concept / Approach:Find k: 60 / 24 = 2.5. Therefore, f(n) = 2.5 * n.

Step-by-Step Solution:Compute f(120) = 2.5 * 120.2.5 * 120 = 300.

Verification / Alternative check:Double-check: 24 * 2 = 48 and an extra half of 24 (12) totals 60; the same logic with 120 gives 240 + 60 = 300.

Why Other Options Are Wrong:160 and 220: Reflect different, unsupported multipliers.108: Less than the original input, inconsistent with k = 2.5.

Common Pitfalls:Using a nearby round factor (like ×2 or ×3) instead of the exact 2.5 derived from the example.

Final Answer:300