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

question 256

Multiple Choice

Solve the problem.
-The function $f ( x ) = 1 + 1.5 \ln ( x + 1 )$ 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 how many days of practice can the basketball player make an average of 6 consecutive free throws?

• A) 27 days
• B) 29 days
• C) 105 days
• D) 107 days

---

Definitions:

Methanol

A simple alcohol with the chemical formula CH3OH, used as a solvent, antifreeze, or fuel.

HCl

Hydrochloric acid, a strong acidic compound of hydrogen chloride in water, commonly used in industrial and laboratory settings.

Distamycin

A small molecule that binds to minor grooves of DNA, notable for its role in scientific research related to DNA interactions.

Acid Hydrolysis

A chemical process in which a compound is broken down by reaction with water and an acid, resulting in the formation of one or more new substances.