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

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) $1.6 \mathrm { yr }$