Evaluate the Expression Without Using a Calculator $\mathrm { f } ( \mathrm { x } ) = 1 + 1.6 \ln ( \mathrm { x } + 1 )$

question 145

Multiple Choice

Evaluate the expression without using a calculator.
-The function $\mathrm { f } ( \mathrm { x } ) = 1 + 1.6 \ln ( \mathrm { x } + 1 )$ models the average number of free-throws a basketball player can make consecutively during practice as a function of time, where $\mathrm { x }$ is the number of consecutive days the basketball player has practiced for two hours. After 147 days of practice, what is the average number of consecutive free throws the basketball player makes?

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

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Definitions:

Law of Diminishing

Refers to the Law of Diminishing Returns, which states that adding more of one factor of production, while holding others constant, will at some point yield lower per-unit returns.

Marginal Returns

The change in output resulting from a one-unit increase in a particular input, while holding other inputs constant.

Marginal Cost

The rise in overall expenses associated with the production of an extra unit of a product or service.

Average Total Cost

The total cost of production divided by the number of units produced, giving a per unit cost of production.