Solve the Problem $\mathrm { N } ( \mathrm { t } ) = 370,000 \left( \frac { 1 } { 4 } \right) ^ { \mathrm { t } }$

question 76

Multiple Choice

Solve the problem.
-Approximately one-fourth of all glass bottles distributed will be recycled each year. A beverage company distributes 370,000 bottles. The number still in use after t years is given by the function $\mathrm { N } ( \mathrm { t } ) = 370,000 \left( \frac { 1 } { 4 } \right) ^ { \mathrm { t } }$ . After how many years will 40,000 bottles still be in use? Round your answer to the nearest tenth.

• A) \(2.2 \mathrm { yr }\)
• B) \(3.1 \mathrm { yr }\)
• C) \(0.6 \mathrm { yr }\)
• D) \(1.6 \mathrm { yr }\)