Zimmerman Patel
07/17/2023 · Junior High School
In \( 2012,34.1 \% \) of all glass containers were recycled. A beverage company used 300,000 lb of glass containers per year. After recycling, the amount of glass, in pounds, still in use after \( t \) years is given by \( N(t)=300,000(0,446)^{t} \). a) Find \( N(6) \), and explain its meaning. b) Find \( N^{\prime}(6) \), and explain its meaning. c) When will \( 2 \% \) of the original amount of glass still be in use?
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a) \( N(6) \approx 13,800 \) pounds of glass will still be in use after 6 years.
b) \( N^{\prime}(6) \approx -11,100 \) pounds per year indicates a decrease in glass in use.
c) Approximately 5 years after the start, \( 2\% \) of the original glass will still be in use.
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