Solve the Problem $\mathrm { f } ( \mathrm { x } ) = 1 + 1.5 \ln ( \mathrm { x } + 1 )$

question 121

Multiple Choice

Solve the problem.
-The function $\mathrm { f } ( \mathrm { x } ) = 1 + 1.5 \ln ( \mathrm { x } + 1 )$ models the average number of free-throws a basketball player can make consecutively during practice as a function of time, where $x$ is the number of consecutive days the basketball player has practiced for two hours. After 206 days of practice, what is the average number of consecutive free throws the basketball player makes?

• A) 10 consecutive free throws
• B) 9 consecutive free throws
• C) 13 consecutive free throws
• D) 12 consecutive free throws

---

Definitions:

Operating Income

Earnings from a company's core business operations, excluding expenses and revenues from investments and other non-operational activities.

Variable Costing

An accounting method that only allocates variable production costs to products, excluding fixed costs.

Absorption Costing

A costing method that includes all manufacturing costs - direct materials, direct labor, and both variable and fixed overhead - in the cost of a product.

Operating Income

The profit realized from a business's core operating activities, excluding costs and revenues from non-operating activities.