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) \(0.3 \mathrm { yr }\)

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