Solve the Problem $R$ Varies Directly As $x ^ { 2 }$

question 174

Multiple Choice

Solve the problem.
- $R$ varies directly as $x ^ { 2 }$ and inversely as $t$ when $R = 30$ when $x = 6$ and $t = 12$ . Find $R$ when $x = 7$ and $t = 9$ .

• A) \(R = \frac { 9 } { 490 }\)
• B) \(R = \frac { 490 } { 9 }\)
• C) \(R = \frac { 3 } { 140 }\)
• D) \(R = \frac { 140 } { 3 }\)

---

Definitions:

Overhead Cost

Expenses related to the ongoing operational costs of running a business that are not directly tied to the production of goods or services.

Traditional Costing System

A costing methodology that allocates overhead costs to products based on a predetermined rate, often using direct labor hours or machine hours as the allocation base.

Activity-Based Costing System

A costing methodology that assigns costs to products or services based on the activities that go into producing them, providing detailed insights into the actual consumption of resources.

Unit Product Costs

The calculated cost of producing one unit of a product, including direct materials, labor, and overhead.