Solve the Problem $t$ Years Is Given by the Function $$\mathrm{N}(\mathrm{t})=310,000\left(\frac{1}{4}\right)^{\mathrm{t}}$$ After How Many Years Will 30,000 Bottles Still Be in Distributed

Multiple Choice

Solve the problem.
-Approximately one fourth of all glass bottles distributed will be recycled each year. A beverage company distributes 310,000 bottles. The number still in use after $t$ years is given by the function
$$\mathrm{N}(\mathrm{t}) =310,000\left(\frac{1}{4}\right) ^{\mathrm{t}}$$
After how many years will 30,000 bottles still be in use? Round your answer to the nearest tenth.

A) $1.7 \mathrm{yr}$
B) $2.3 \mathrm{yr}$
C) $3.2 \mathrm{yr}$
D) $0.6 \mathrm{yr}$