Solve the Problem $\mathrm { N } ( \mathrm { t } ) = 380,000 \left( \frac { 1 } { 4 } \right) ^ { \mathrm { t } }$

question 94

Multiple Choice

Solve the problem.
-Approximately one-fourth of all glass bottles distributed will be recycled each year. A beverage company distributes 380,000 bottles. The number still in use after t years is given by the function $\mathrm { N } ( \mathrm { t } ) = 380,000 \left( \frac { 1 } { 4 } \right) ^ { \mathrm { t } }$ . After how many years will 3000 bottles still be in use? Round your answer to the nearest tenth.

• A) \(3.5 \mathrm { yr }\)
• B) \(6.7 \mathrm { yr }\)
• C) \(4.8 \mathrm { yr }\)
• D) \(0.3 \mathrm { yr }\)

---

Definitions:

Ethical Issues

Moral conflicts involving a dilemma between choosing right and wrong, often arising in a professional, social, or scientific context.

Role Conflict

The frustrations and uncertainties a person experiences when the expectations of two or more roles are incompatible.

Role Expectations

The anticipated behaviors and responsibilities associated with a particular social position or status.

Role Incompatibility

A situation where an individual faces conflicting demands from different roles they occupy, leading to stress and difficulty in fulfilling role expectations.